How To Solve Second Order Linear Homogeneous Differential Equation

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ireHf-02Yrs

To solve any Second Order Linear Homogeneous Differential Equation, first this you need to do, is to transform the equation in to an auxiliary or characteristics equation in the form: ar²+be+c=0 • We have already seen how to do that in our previous lesson. • The next move is to solve for r which are the roots of the equation (r intercept). • Then determine the nature of the roots and substitute in to the following equations, depending on the nature of roots. • y=C₁eʳ¹ˣ+C₂eʳ²ˣ. when you obtain real and distinct roots • y=(C₁+C₂x)eʳˣ when you Obtain real and equal roots. • and finally, if you Obtain a complex solution in the form: r= m+si or r = m-si • where i is imaginary number, and m and s are real numbers, then • y=eᵐˣ[C₁cos(st)+C₂sin(st)]","styleRuns":[{"startIndex":0,"length":739,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":739,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLYBELsvGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2lyZUhmLTAyWXJzGAYyJSIRIgtpcmVIZi0wMllyczAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLYBELsvGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLUBELovIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"Z9Ytcx-TBi0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Z9Ytcx-TBi0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCCkBqL-vNY_TijVth0L2ZvdRBcrw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Z9Ytcx-TBi0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDM08lJtpdLtptTuEIWBi5uN6XSDg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How to Solve Second Order Homogeneous Differential Equation | Lesson 2 by Tambuwal Maths Class 5,920 views 4 years ago 4 minutes, 17 seconds"}},"simpleText":"How to Solve Second Order Homogeneous Differential Equation | Lesson 2"},"longBylineText":{"runs":[{"text":"Tambuwal Maths Class","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tambuwalmathsclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYxAOG6Kz3t_haF45jYPFPQ","canonicalBaseUrl":"/@tambuwalmathsclass"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"5,920 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 17 seconds"}},"simpleText":"4:17"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWRIu8XZ6f7v4duKAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Z9Ytcx-TBi0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Z9Ytcx-TBi0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=67d62d731f93062d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=775000 mt=1740984779 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Tambuwal Maths Class","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tambuwalmathsclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYxAOG6Kz3t_haF45jYPFPQ","canonicalBaseUrl":"/@tambuwalmathsclass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/4pC-pL36tfZaL3MTIBLJ7x25TtdJ-TXajD1xeMKL517veot-gqOJN66v7k_GvTVzIbFSy-ZYhug=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw5ArYzM_LGui-tn","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"5.9K views"}},"simpleText":"5.9K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLMBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLMBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z9Ytcx-TBi0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLMBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z9Ytcx-TBi0"],"params":"CAQ%3D"}},"videoIds":["Z9Ytcx-TBi0"]}},{"clickTrackingParams":"CLMBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLQBELlqIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"popupType":"TOAST"}}]}},"trackingParams":"CLMBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtaOVl0Y3gtVEJpMA%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIlZjL6qrtiwMVdARzCR1M2gsO","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAAiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 17 seconds"}},"simpleText":"4:17"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Z9Ytcx-TBi0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Z9Ytcx-TBi0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Z9Ytcx-TBi0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Z9Ytcx-TBi0"],"params":"CAQ%3D"}},"videoIds":["Z9Ytcx-TBi0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"How to Solve Second Order Homogeneous Differential Equation | Lesson 2 - 4 minutes, 17 seconds - Go to channel - Tambuwal Maths Class - 5.9K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/Z9Ytcx-TBi0/mqdefault_6s.webp?du=3000 sqp=CKnvlL4G rs=AOn4CLBd8rvCdG44EugFLm6AOgd4p2zjLQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"oRkSGEITtOE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/oRkSGEITtOE/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAK4MSNkMDkDdWkiR-vj62HCCM29Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/oRkSGEITtOE/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAAdCDW6mP_bx7GoOx390tjiiwmXw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How to Solve First Order Linear Differential Equations by Tambuwal Maths Class 186,303 views 4 years ago 10 minutes, 53 seconds"}},"simpleText":"How to Solve First Order Linear Differential Equations"},"longBylineText":{"runs":[{"text":"Tambuwal Maths Class","navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tambuwalmathsclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYxAOG6Kz3t_haF45jYPFPQ","canonicalBaseUrl":"/@tambuwalmathsclass"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"186,303 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"10 minutes, 53 seconds"}},"simpleText":"10:53"},"navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWRIu8XZ6f7v4duKAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=oRkSGEITtOE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"oRkSGEITtOE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=a11912184213b4e1 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1753750 mt=1740984779 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Tambuwal Maths Class","navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@tambuwalmathsclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYxAOG6Kz3t_haF45jYPFPQ","canonicalBaseUrl":"/@tambuwalmathsclass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/4pC-pL36tfZaL3MTIBLJ7x25TtdJ-TXajD1xeMKL517veot-gqOJN66v7k_GvTVzIbFSy-ZYhug=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw5A4enOkITDxIyhAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"186K views"}},"simpleText":"186K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oRkSGEITtOE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oRkSGEITtOE"],"params":"CAQ%3D"}},"videoIds":["oRkSGEITtOE"]}},{"clickTrackingParams":"CK0BEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtvUmtTR0VJVHRPRQ%3D%3D","commands":[{"clickTrackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKwBEI5iIhMIlZjL6qrtiwMVdARzCR1M2gsO","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","hasSeparator":true}}],"trackingParams":"CKkBEKQwGAEiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"10 minutes, 53 seconds"}},"simpleText":"10:53"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKsBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"oRkSGEITtOE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKsBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"oRkSGEITtOE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKsBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKoBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oRkSGEITtOE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKoBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oRkSGEITtOE"],"params":"CAQ%3D"}},"videoIds":["oRkSGEITtOE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"How to Solve First Order Linear Differential Equations - 10 minutes, 53 seconds - Go to channel - Tambuwal Maths Class - 186K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/oRkSGEITtOE/mqdefault_6s.webp?du=3000 sqp=CNXulL4G rs=AOn4CLB7yqBOoLoyC0ZniG0Wq8-6TNIcYg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"y0NSWbrJcvE","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/y0NSWbrJcvE/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAf-mfuJCrtNIy9TdzjczLztjehOQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/y0NSWbrJcvE/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCi7aNbYToOF2Y-RZeNp2-dZSLS3g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"🔵18 - Second Order Linear Homogeneous Differential Equations with Constants coefficients by SkanCity Academy 37,490 views 1 year ago 26 minutes"}},"simpleText":"🔵18 - Second Order Linear Homogeneous Differential Equations with Constants coefficients"},"longBylineText":{"runs":[{"text":"SkanCity Academy","navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@SkanCityAcademy_SirJohn","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClMZ7hLVPpsnP14zFU_u6xA","canonicalBaseUrl":"/@SkanCityAcademy_SirJohn"}}}]},"publishedTimeText":{"simpleText":"1 year ago"},"viewCountText":{"simpleText":"37,490 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"26 minutes, 57 seconds"}},"simpleText":"26:57"},"navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWRIu8XZ6f7v4duKAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=y0NSWbrJcvE","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"y0NSWbrJcvE","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=cb435259bac972f1 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1753750 mt=1740984779 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"SkanCity Academy","navigationEndpoint":{"clickTrackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@SkanCityAcademy_SirJohn","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClMZ7hLVPpsnP14zFU_u6xA","canonicalBaseUrl":"/@SkanCityAcademy_SirJohn"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kUYCnb0h-Iln7xu4dwxOJ8M02OZWlpTJzLyUu5pzdAyHE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw5A8eWl1pvL1KHLAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"37K views"}},"simpleText":"37K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKcBEP6YBBgFIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKcBEP6YBBgFIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"y0NSWbrJcvE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKcBEP6YBBgFIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["y0NSWbrJcvE"],"params":"CAQ%3D"}},"videoIds":["y0NSWbrJcvE"]}},{"clickTrackingParams":"CKcBEP6YBBgFIhMIlZjL6qrtiwMVdARzCR1M2gsO","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKgBELlqIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"popupType":"TOAST"}}]}},"trackingParams":"CKcBEP6YBBgFIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt5ME5TV2JySmN2RQ%3D%3D","commands":[{"clickTrackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKYBEI5iIhMIlZjL6qrtiwMVdARzCR1M2gsO","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","hasSeparator":true}}],"trackingParams":"CKMBEKQwGAIiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"26 minutes, 57 seconds"}},"simpleText":"26:57"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKUBEPnnAxgBIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"y0NSWbrJcvE","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKUBEPnnAxgBIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"y0NSWbrJcvE"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKUBEPnnAxgBIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKQBEMfsBBgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKQBEMfsBBgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"y0NSWbrJcvE","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKQBEMfsBBgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["y0NSWbrJcvE"],"params":"CAQ%3D"}},"videoIds":["y0NSWbrJcvE"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKQBEMfsBBgCIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"🔵18 - Second Order Linear Homogeneous Differential Equations with Constants coefficients - 26 minutes - Go to channel - SkanCity Academy - 37K views - 1 year ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"AgyeJEO2a-k","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/AgyeJEO2a-k/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDqqG7PY0cqAgKzf9PEyKer350MxQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/AgyeJEO2a-k/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBs4Zzk0m4CPz0FOmZ6w7J8czq3JQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Undetermined Coefficients: Solving non-homogeneous ODEs by Dr. Trefor Bazett 459,361 views 3 years ago 12 minutes, 44 seconds"}},"simpleText":"Undetermined Coefficients: Solving non-homogeneous ODEs"},"longBylineText":{"runs":[{"text":"Dr. Trefor Bazett","navigationEndpoint":{"clickTrackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrTrefor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9rTsvTxJnx1DNrDA3Rqa6A","canonicalBaseUrl":"/@DrTrefor"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"459,361 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 44 seconds"}},"simpleText":"12:44"},"navigationEndpoint":{"clickTrackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWRIu8XZ6f7v4duKAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=AgyeJEO2a-k","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"AgyeJEO2a-k","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=020c9e2443b66be9 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1753750 mt=1740984779 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Dr. Trefor Bazett","navigationEndpoint":{"clickTrackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DrTrefor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC9rTsvTxJnx1DNrDA3Rqa6A","canonicalBaseUrl":"/@DrTrefor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lAOi_1eAO-NKrsecIaYKpj05qQlLen6MFoxZv0kp-NWw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw5A6dfZncTEp4YC","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"459K views"}},"simpleText":"459K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKEBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKEBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AgyeJEO2a-k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKEBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AgyeJEO2a-k"],"params":"CAQ%3D"}},"videoIds":["AgyeJEO2a-k"]}},{"clickTrackingParams":"CKEBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKIBELlqIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"popupType":"TOAST"}}]}},"trackingParams":"CKEBEP6YBBgHIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtBZ3llSkVPMmEtaw%3D%3D","commands":[{"clickTrackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKABEI5iIhMIlZjL6qrtiwMVdARzCR1M2gsO","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","hasSeparator":true}}],"trackingParams":"CJ0BEKQwGAMiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 44 seconds"}},"simpleText":"12:44"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJ8BEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"AgyeJEO2a-k","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJ8BEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"AgyeJEO2a-k"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJ8BEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJ4BEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ4BEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"AgyeJEO2a-k","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ4BEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["AgyeJEO2a-k"],"params":"CAQ%3D"}},"videoIds":["AgyeJEO2a-k"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJ4BEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Undetermined Coefficients: Solving non-homogeneous ODEs - 12 minutes, 44 seconds - Go to channel - Dr. Trefor Bazett - 459K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/AgyeJEO2a-k/mqdefault_6s.webp?du=3000 sqp=CNOQlb4G rs=AOn4CLDf1ugVAzCS9e-uW5NhzBw9azFr4g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"uI2xt8nTOlQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/uI2xt8nTOlQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAuC2LZOyGslmVhCc5LTo09RkQCbw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/uI2xt8nTOlQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAaf8FnL6KOeL28j22ZTa8jTs6qyQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Second Order Linear Differential Equations by The Organic Chemistry Tutor 1,301,942 views 5 years ago 25 minutes"}},"simpleText":"Second Order Linear Differential Equations"},"longBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"1,301,942 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"25 minutes, 17 seconds"}},"simpleText":"25:17"},"navigationEndpoint":{"clickTrackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWRIu8XZ6f7v4duKAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=uI2xt8nTOlQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"uI2xt8nTOlQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=b88db1b7c9d33a54 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1753750 mt=1740984779 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lOQikQsmqQS3dG9VBvbJ03Eqqw7NshUvDNorj5UAZL6M0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw5A1PTMzvy27Ma4AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.3 million views"}},"simpleText":"1.3M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CJsBEP6YBBgGIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJsBEP6YBBgGIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"uI2xt8nTOlQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJsBEP6YBBgGIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["uI2xt8nTOlQ"],"params":"CAQ%3D"}},"videoIds":["uI2xt8nTOlQ"]}},{"clickTrackingParams":"CJsBEP6YBBgGIhMIlZjL6qrtiwMVdARzCR1M2gsO","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CJwBELlqIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},"popupType":"TOAST"}}]}},"trackingParams":"CJsBEP6YBBgGIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt1STJ4dDhuVE9sUQ%3D%3D","commands":[{"clickTrackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJoBEI5iIhMIlZjL6qrtiwMVdARzCR1M2gsO","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","hasSeparator":true}}],"trackingParams":"CJcBEKQwGAQiEwiVmMvqqu2LAxV0BHMJHUzaCw4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"25 minutes, 17 seconds"}},"simpleText":"25:17"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJkBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"uI2xt8nTOlQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CJkBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"uI2xt8nTOlQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJkBEPnnAxgCIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJgBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJgBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"uI2xt8nTOlQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJgBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["uI2xt8nTOlQ"],"params":"CAQ%3D"}},"videoIds":["uI2xt8nTOlQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJgBEMfsBBgDIhMIlZjL6qrtiwMVdARzCR1M2gsO"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Second Order Linear Differential Equations - 25 minutes - Go to channel - The Organic Chemistry Tutor - 1.3M views - 5 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/Ej_kGloQh0o/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBw14E0Mmr557VzrQKTvZ89SlyXNA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Ej_kGloQh0o/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDEFGDxV_DpsK3Z3HfyuAeiwAITjg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"37 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3346957,"darkTheme":3346957}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5840919,"darkTheme":5840919}}},"stackColor":{"lightTheme":10055787,"darkTheme":9665142}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Differential Equations"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Tambuwal Maths Class

#############################