Clairaut Equation By Senior Prof EChauke

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=YHzY1Ud37lY

Emmanuel Chauke is a final year student in Bsc ( Mathematical Science ) at Sefako Makgatho Health Science University ( SMU ) Whereby now he's regarded as one of the top students in the filed of Statistics , Mathematics and Applied Mathematics, during his first year he managed to get 10 out 10 distinctions with at aleast 100% in Statistics and Mathematics, and 99% with applied","styleRuns":[{"startIndex":0,"length":378,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":378,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMQBELsvGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1lIelkxVWQzN2xZGAYyJSIRIgtZSHpZMVVkMzdsWTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMQBELsvGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMMBELovIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"WsQQvHm4lSw","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/WsQQvHm4lSw/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAa3ywQYauKEPc-Jmhrwvgh8u4ojg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WsQQvHm4lSw/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA6_goniNZCjRvy4sFavg2KR9QRnw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Understand Calculus in 35 Minutes by The Organic Chemistry Tutor 4,060,087 views 6 years ago 36 minutes"}},"simpleText":"Understand Calculus in 35 Minutes"},"longBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"4,060,087 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"36 minutes, 22 seconds"}},"simpleText":"36:22"},"navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWRI1tzfu9Satr5gmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=WsQQvHm4lSw","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"WsQQvHm4lSw","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=5ac410bc79b8952c ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=960000 mt=1739883688 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQyMg rxtags=Cg4KAnR4Egg1MTM1NzQyMg%2CCg4KAnR4Egg1MTM1NzQyMw%2CCg4KAnR4Egg1MTM1NzQyNA"}}}}},"shortBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","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":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT5ArKrizceXhOJa","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"4 million views"}},"simpleText":"4M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMEBEP6YBBgGIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMEBEP6YBBgGIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WsQQvHm4lSw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMEBEP6YBBgGIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WsQQvHm4lSw"],"params":"CAQ%3D"}},"videoIds":["WsQQvHm4lSw"]}},{"clickTrackingParams":"CMEBEP6YBBgGIhMIyaG-26XNiwMVk-hCBR2YpAk-","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMIBELlqIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},"popupType":"TOAST"}}]}},"trackingParams":"CMEBEP6YBBgGIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMABENGqBRgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","offlineVideoEndpoint":{"videoId":"WsQQvHm4lSw","onAddCommand":{"clickTrackingParams":"CMABENGqBRgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","getDownloadActionCommand":{"videoId":"WsQQvHm4lSw","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMABENGqBRgHIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtXc1FRdkhtNGxTdw%3D%3D","commands":[{"clickTrackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL8BEI5iIhMIyaG-26XNiwMVk-hCBR2YpAk-","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4=","hasSeparator":true}}],"trackingParams":"CLwBEKQwGAAiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"36 minutes, 22 seconds"}},"simpleText":"36:22"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"WsQQvHm4lSw","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"WsQQvHm4lSw"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WsQQvHm4lSw","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WsQQvHm4lSw"],"params":"CAQ%3D"}},"videoIds":["WsQQvHm4lSw"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Understand Calculus in 35 Minutes - 36 minutes - Go to channel - The Organic Chemistry Tutor - 4M views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"WUvTyaaNkzM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/WUvTyaaNkzM/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB8Jxf9oUNefs7k6wSyOERV_koIng","width":168,"height":94},{"url":"https://i.ytimg.com/vi/WUvTyaaNkzM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLA_5XRUf6tNT9RrWAdcdiQzlrpmRA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The essence of calculus by 3Blue1Brown 9,744,244 views 7 years ago 17 minutes"}},"simpleText":"The essence of calculus"},"longBylineText":{"runs":[{"text":"3Blue1Brown","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@3blue1brown","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYO_jab_esuFRV4b17AJtAw","canonicalBaseUrl":"/@3blue1brown"}}}]},"publishedTimeText":{"simpleText":"7 years ago"},"viewCountText":{"simpleText":"9,744,244 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"17 minutes, 5 seconds"}},"simpleText":"17:05"},"navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWRI1tzfu9Satr5gmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=WUvTyaaNkzM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"WUvTyaaNkzM","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=594bd3c9a68d9333 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=960000 mt=1739883688 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQyMg rxtags=Cg4KAnR4Egg1MTM1NzQyMg%2CCg4KAnR4Egg1MTM1NzQyMw%2CCg4KAnR4Egg1MTM1NzQyNA"}}}}},"shortBylineText":{"runs":[{"text":"3Blue1Brown","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@3blue1brown","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYO_jab_esuFRV4b17AJtAw","canonicalBaseUrl":"/@3blue1brown"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nFzZFPLxPZRHcE3SSwzdrbuWqfoWYwLAu0_2iO6blQYAU=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":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT5As6a2tJr59KVZ","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"9.7 million views"}},"simpleText":"9.7M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLoBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLoBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WUvTyaaNkzM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLoBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WUvTyaaNkzM"],"params":"CAQ%3D"}},"videoIds":["WUvTyaaNkzM"]}},{"clickTrackingParams":"CLoBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLsBELlqIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},"popupType":"TOAST"}}]}},"trackingParams":"CLoBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLkBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-","offlineVideoEndpoint":{"videoId":"WUvTyaaNkzM","onAddCommand":{"clickTrackingParams":"CLkBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-","getDownloadActionCommand":{"videoId":"WUvTyaaNkzM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLkBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtXVXZUeWFhTmt6TQ%3D%3D","commands":[{"clickTrackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLgBEI5iIhMIyaG-26XNiwMVk-hCBR2YpAk-","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4=","hasSeparator":true}}],"trackingParams":"CLUBEKQwGAEiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"17 minutes, 5 seconds"}},"simpleText":"17:05"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"WUvTyaaNkzM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"WUvTyaaNkzM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"WUvTyaaNkzM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["WUvTyaaNkzM"],"params":"CAQ%3D"}},"videoIds":["WUvTyaaNkzM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLYBEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"The essence of calculus - 17 minutes - Go to channel - 3Blue1Brown - 9.7M views - 7 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/WUvTyaaNkzM/mqdefault_6s.webp?du=3000 sqp=CJD40b0G rs=AOn4CLDj3KUh2pyQ-nHR1jFXRAfrXqayPA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ifbaAqfqpc4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ifbaAqfqpc4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBF9CzE1dxRMMk4BOqIm0bG0fJKVw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ifbaAqfqpc4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCfzEYIZ8GRVHhlDY3RBVvXxoIYXQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"This is why you're learning differential equations by Zach Star 3,675,150 views 4 years ago 18 minutes"}},"simpleText":"This is why you're learning differential equations"},"longBylineText":{"runs":[{"text":"Zach Star","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@zachstar","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpCSAcbqs-sjEVfk_hMfY9w","canonicalBaseUrl":"/@zachstar"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"3,675,150 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"18 minutes, 36 seconds"}},"simpleText":"18:36"},"navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWRI1tzfu9Satr5gmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ifbaAqfqpc4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ifbaAqfqpc4","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=89f6da02a7eaa5ce ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=960000 mt=1739883688 oweuc= pxtags=Cg4KAnR4Egg1MTM1NzQyMg rxtags=Cg4KAnR4Egg1MTM1NzQyMg%2CCg4KAnR4Egg1MTM1NzQyMw%2CCg4KAnR4Egg1MTM1NzQyNA"}}}}},"shortBylineText":{"runs":[{"text":"Zach Star","navigationEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@zachstar","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpCSAcbqs-sjEVfk_hMfY9w","canonicalBaseUrl":"/@zachstar"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lszMno_6-JawRNW8UCfK8zjUvt7WTMZco67xUk094V2EE=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":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT5Azsuqv6rAtvuJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"3.6 million views"}},"simpleText":"3.6M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLMBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLMBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ifbaAqfqpc4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLMBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ifbaAqfqpc4"],"params":"CAQ%3D"}},"videoIds":["ifbaAqfqpc4"]}},{"clickTrackingParams":"CLMBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLQBELlqIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},"popupType":"TOAST"}}]}},"trackingParams":"CLMBEP6YBBgHIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLIBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-","offlineVideoEndpoint":{"videoId":"ifbaAqfqpc4","onAddCommand":{"clickTrackingParams":"CLIBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-","getDownloadActionCommand":{"videoId":"ifbaAqfqpc4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLIBENGqBRgIIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtpZmJhQXFmcXBjNA%3D%3D","commands":[{"clickTrackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLEBEI5iIhMIyaG-26XNiwMVk-hCBR2YpAk-","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","hasSeparator":true}}],"trackingParams":"CK4BEKQwGAIiEwjJob7bpc2LAxWT6EIFHZikCT4=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"18 minutes, 36 seconds"}},"simpleText":"18:36"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ifbaAqfqpc4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLABEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ifbaAqfqpc4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEPnnAxgCIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK8BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK8BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ifbaAqfqpc4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK8BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ifbaAqfqpc4"],"params":"CAQ%3D"}},"videoIds":["ifbaAqfqpc4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK8BEMfsBBgDIhMIyaG-26XNiwMVk-hCBR2YpAk-"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"This is why you're learning differential equations - 18 minutes - Go to channel - Zach Star - 3.6M views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/ifbaAqfqpc4/mqdefault_6s.webp?du=3000 sqp=CJyB0r0G rs=AOn4CLCROyRsZPkzlDMWsiLtV4Z10uOieg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/uoOpCGdktQ4/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLA2sZsNmMK_q0BkBexF5YoFjf6NjA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/uoOpCGdktQ4/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBFyzM24Tyxwx0VJ-QqSCtdrQHDKw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"38 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":463923,"darkTheme":463923}}}],"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":861017,"darkTheme":861017}}},"stackColor":{"lightTheme":7043225,"darkTheme":7765651}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"DIFFERENTIAL EQUATIONS"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"SkanCity Academy

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

New on site