d Alembert solution derivation Partial Differential equation MSc Maths தமிழ் 👍











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=e9Sbjn9TPFU

d' Alembert solution of the Cauchy problem for 1D wave equation derivation | Partial Differential equation- M.Sc Mathematics in தமிழ் 👍","styleRuns":[{"startIndex":0,"length":137,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":137,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CL8BELsvGAIiEwjM1frtic6LAxXT60IFHfwiALE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC2U5U2JqbjlUUEZVGAYyJSIRIgtlOVNiam45VFBGVTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CL8BELsvGAIiEwjM1frtic6LAxXT60IFHfwiALE=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL4BELovIhMIzNX67YnOiwMV0-tCBR38IgCx"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"M0VjNIm-fY0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/M0VjNIm-fY0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAIFv_2TA7efswPRsZsm6MPZneJFg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/M0VjNIm-fY0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLD9i5xJvcVgHSgqTqqNrKgXdze_nA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Theorem 18.1| TOPOLOGY | M.Sc Mathematics in தமிழ் 👍 by M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar 9,327 views 3 years ago 19 minutes"}},"simpleText":"Theorem 18.1| TOPOLOGY | M.Sc Mathematics in தமிழ் 👍"},"longBylineText":{"runs":[{"text":"M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar","navigationEndpoint":{"clickTrackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.scandb.edmathsworldnivet5697","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7PlzCOkrVr6yOhNtRTT8Kg","canonicalBaseUrl":"/@m.scandb.edmathsworldnivet5697"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"9,327 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"19 minutes, 11 seconds"}},"simpleText":"19:11"},"navigationEndpoint":{"clickTrackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWRI1fjM-ufxpup7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=M0VjNIm-fY0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"M0VjNIm-fY0","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=3345633489be7d8d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=961250 mt=1739910560 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar","navigationEndpoint":{"clickTrackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.scandb.edmathsworldnivet5697","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7PlzCOkrVr6yOhNtRTT8Kg","canonicalBaseUrl":"/@m.scandb.edmathsworldnivet5697"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nZXehROaSjp_aU7zcfbP2uJqwhZmRPlWkNwcFAk4R-Sw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALFAjfv5zcjm2KIz","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"9.3K views"}},"simpleText":"9.3K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLwBEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLwBEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"M0VjNIm-fY0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLwBEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["M0VjNIm-fY0"],"params":"CAQ%3D"}},"videoIds":["M0VjNIm-fY0"]}},{"clickTrackingParams":"CLwBEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CL0BELlqIhMIzNX67YnOiwMV0-tCBR38IgCx"}},"popupType":"TOAST"}}]}},"trackingParams":"CLwBEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLsBENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx","offlineVideoEndpoint":{"videoId":"M0VjNIm-fY0","onAddCommand":{"clickTrackingParams":"CLsBENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx","getDownloadActionCommand":{"videoId":"M0VjNIm-fY0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLsBENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtNMFZqTkltLWZZMA%3D%3D","commands":[{"clickTrackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLoBEI5iIhMIzNX67YnOiwMV0-tCBR38IgCx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALE=","hasSeparator":true}}],"trackingParams":"CLcBEKQwGAAiEwjM1frtic6LAxXT60IFHfwiALE=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"19 minutes, 11 seconds"}},"simpleText":"19:11"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLkBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"M0VjNIm-fY0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLkBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"M0VjNIm-fY0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLkBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLgBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"M0VjNIm-fY0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLgBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["M0VjNIm-fY0"],"params":"CAQ%3D"}},"videoIds":["M0VjNIm-fY0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Theorem 18.1| TOPOLOGY | M.Sc Mathematics in தமிழ் 👍 - 19 minutes - Go to channel - M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar - 9.3K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"oQYuob_xmbc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/oQYuob_xmbc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBQGOXpqLqxEbN1QmtRISUl-44lZg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/oQYuob_xmbc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCxzu6uBUgwBh672Trm9WeBdRL_yw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"The plucked string | Partial Differential equation- M.Sc Mathematics in தமிழ் 👍 by M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar 1,885 views 3 years ago 20 minutes"}},"simpleText":"The plucked string | Partial Differential equation- M.Sc Mathematics in தமிழ் 👍"},"longBylineText":{"runs":[{"text":"M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.scandb.edmathsworldnivet5697","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7PlzCOkrVr6yOhNtRTT8Kg","canonicalBaseUrl":"/@m.scandb.edmathsworldnivet5697"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"1,885 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"20 minutes, 34 seconds"}},"simpleText":"20:34"},"navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWRI1fjM-ufxpup7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=oQYuob_xmbc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"oQYuob_xmbc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-nv47lnsd.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=a1062ea1bff199b7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=302500 mt=1739910560 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@m.scandb.edmathsworldnivet5697","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC7PlzCOkrVr6yOhNtRTT8Kg","canonicalBaseUrl":"/@m.scandb.edmathsworldnivet5697"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nZXehROaSjp_aU7zcfbP2uJqwhZmRPlWkNwcFAk4R-Sw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALFAt7PG_5vUi4OhAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.8K views"}},"simpleText":"1.8K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLUBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLUBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oQYuob_xmbc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLUBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oQYuob_xmbc"],"params":"CAQ%3D"}},"videoIds":["oQYuob_xmbc"]}},{"clickTrackingParams":"CLUBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLYBELlqIhMIzNX67YnOiwMV0-tCBR38IgCx"}},"popupType":"TOAST"}}]}},"trackingParams":"CLUBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLQBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx","offlineVideoEndpoint":{"videoId":"oQYuob_xmbc","onAddCommand":{"clickTrackingParams":"CLQBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx","getDownloadActionCommand":{"videoId":"oQYuob_xmbc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLQBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtvUVl1b2JfeG1iYw%3D%3D","commands":[{"clickTrackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLMBEI5iIhMIzNX67YnOiwMV0-tCBR38IgCx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALE=","hasSeparator":true}}],"trackingParams":"CLABEKQwGAEiEwjM1frtic6LAxXT60IFHfwiALE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"20 minutes, 34 seconds"}},"simpleText":"20:34"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLIBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"oQYuob_xmbc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLIBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"oQYuob_xmbc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLIBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLEBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"oQYuob_xmbc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLEBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["oQYuob_xmbc"],"params":"CAQ%3D"}},"videoIds":["oQYuob_xmbc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"The plucked string | Partial Differential equation- M.Sc Mathematics in தமிழ் 👍 - 20 minutes - Go to channel - M. Sc and B. Ed Maths World தமிழ் Nivetha Jayakumar - 1.8K views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/oQYuob_xmbc/mqdefault_6s.webp?du=3000 sqp=CIHb070G rs=AOn4CLADrvk0cefEWMM3vDRq8wY4AUpjVg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ZWUkMkdgi-E","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ZWUkMkdgi-E/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBYkqc6bKCD3eeLmjOrmZOUBWTOTA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ZWUkMkdgi-E/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBqbPMNzsmvJiIvHFO7FVfKzdOD4w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"D'Alembert solution for one dimensional wave equation by Maths.tutor 4u 21,341 views 4 years ago 17 minutes"}},"simpleText":"D'Alembert solution for one dimensional wave equation"},"longBylineText":{"runs":[{"text":"Maths.tutor 4u","navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@maths.tutor4u172","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpfDB6lm1-mr10oAtiIzx9A","canonicalBaseUrl":"/@maths.tutor4u172"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"21,341 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"17 minutes, 12 seconds"}},"simpleText":"17:12"},"navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWRI1fjM-ufxpup7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZWUkMkdgi-E","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZWUkMkdgi-E","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=6565243247608be1 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=961250 mt=1739910560 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Maths.tutor 4u","navigationEndpoint":{"clickTrackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@maths.tutor4u172","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCpfDB6lm1-mr10oAtiIzx9A","canonicalBaseUrl":"/@maths.tutor4u172"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_n7YjgAwUFn1NcxvLe20mVxJTSPolp7jwJCym5r2-U6iQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALFA4ZeCu6SGybJl","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"21K views"}},"simpleText":"21K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK4BEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK4BEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZWUkMkdgi-E","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK4BEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZWUkMkdgi-E"],"params":"CAQ%3D"}},"videoIds":["ZWUkMkdgi-E"]}},{"clickTrackingParams":"CK4BEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK8BELlqIhMIzNX67YnOiwMV0-tCBR38IgCx"}},"popupType":"TOAST"}}]}},"trackingParams":"CK4BEP6YBBgFIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CK0BENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx","offlineVideoEndpoint":{"videoId":"ZWUkMkdgi-E","onAddCommand":{"clickTrackingParams":"CK0BENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx","getDownloadActionCommand":{"videoId":"ZWUkMkdgi-E","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CK0BENGqBRgGIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtaV1VrTWtkZ2ktRQ%3D%3D","commands":[{"clickTrackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKwBEI5iIhMIzNX67YnOiwMV0-tCBR38IgCx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALE=","hasSeparator":true}}],"trackingParams":"CKkBEKQwGAIiEwjM1frtic6LAxXT60IFHfwiALE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"17 minutes, 12 seconds"}},"simpleText":"17:12"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKsBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ZWUkMkdgi-E","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKsBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ZWUkMkdgi-E"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKsBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKoBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZWUkMkdgi-E","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKoBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZWUkMkdgi-E"],"params":"CAQ%3D"}},"videoIds":["ZWUkMkdgi-E"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"D'Alembert solution for one dimensional wave equation - 17 minutes - Go to channel - Maths.tutor 4u - 21K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"RwjNUx3c5Ls","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/RwjNUx3c5Ls/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBJwKXYCoPWl9m5GV2TCedLrDvLTQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/RwjNUx3c5Ls/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBXLvTtiYJESTxnLXgY7mgNbG3LxA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"D'Alembert's solution of Wave equation (By change of variables) by Mathematics with Jaskirat Makkar 31,220 views 4 years ago 15 minutes"}},"simpleText":"D'Alembert's solution of Wave equation (By change of variables)"},"longBylineText":{"runs":[{"text":"Mathematics with Jaskirat Makkar","navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jaskiratmakkar432","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCSP2Az1y35Lw80nkP7Kqg6g","canonicalBaseUrl":"/@jaskiratmakkar432"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"31,220 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 53 seconds"}},"simpleText":"15:53"},"navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWRI1fjM-ufxpup7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=RwjNUx3c5Ls","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"RwjNUx3c5Ls","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=4708cd531ddce4bb ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=961250 mt=1739910560 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2MQ rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Mathematics with Jaskirat Makkar","navigationEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALEyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@jaskiratmakkar432","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCSP2Az1y35Lw80nkP7Kqg6g","canonicalBaseUrl":"/@jaskiratmakkar432"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/jeng2mgX_WfFcjT1GPg9Qzgk5yG6dbitmi7kYmBJuQlA7Rif4ZcR3dnQ2jnhHzMoo00QrmxL=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALFAu8nz7rGqs4RH","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"31K views"}},"simpleText":"31K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKcBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKcBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"RwjNUx3c5Ls","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKcBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["RwjNUx3c5Ls"],"params":"CAQ%3D"}},"videoIds":["RwjNUx3c5Ls"]}},{"clickTrackingParams":"CKcBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKgBELlqIhMIzNX67YnOiwMV0-tCBR38IgCx"}},"popupType":"TOAST"}}]}},"trackingParams":"CKcBEP6YBBgGIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKYBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx","offlineVideoEndpoint":{"videoId":"RwjNUx3c5Ls","onAddCommand":{"clickTrackingParams":"CKYBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx","getDownloadActionCommand":{"videoId":"RwjNUx3c5Ls","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKYBENGqBRgHIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALE=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtSd2pOVXgzYzVMcw%3D%3D","commands":[{"clickTrackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALE=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKUBEI5iIhMIzNX67YnOiwMV0-tCBR38IgCx","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALE=","hasSeparator":true}}],"trackingParams":"CKIBEKQwGAMiEwjM1frtic6LAxXT60IFHfwiALE=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 53 seconds"}},"simpleText":"15:53"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKQBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"RwjNUx3c5Ls","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKQBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"RwjNUx3c5Ls"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKQBEPnnAxgBIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKMBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKMBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"RwjNUx3c5Ls","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKMBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["RwjNUx3c5Ls"],"params":"CAQ%3D"}},"videoIds":["RwjNUx3c5Ls"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKMBEMfsBBgCIhMIzNX67YnOiwMV0-tCBR38IgCx"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"D'Alembert's solution of Wave equation (By change of variables) - 15 minutes - Go to channel - Mathematics with Jaskirat Makkar - 31K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/RwjNUx3c5Ls/mqdefault_6s.webp?du=3000 sqp=CIfI070G rs=AOn4CLDYrN4Ju92HRFDS9X59pV4iRuhZKw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/E68j9d_PFWQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLBzYV-fWp0kh95s5rGh8H2UtXNuaA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/E68j9d_PFWQ/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLA16ry1jTP9aZX9c_hUKAMPQRckZA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"23 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"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":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Numerical Methods"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathematics with Jaskirat Makkar

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









New on site
Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org