First Order Lagranges Linear Partial Differential Equations method of multipliers part2by RSheikh

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=nkIJCqLw5Hg

Ex: Find the general solution of • x(z²-y²)p+y(x²-z²)q= z(y²-x²) • Ex: Solve (x²-y²-z²)p+2xyq=2xz","styleRuns":[{"startIndex":0,"length":94,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":94,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwj1u9GCnI-KAxULBHMJHRtDJ88=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC25rSUpDcUx3NUhnGAYyJSIRIgtua0lKQ3FMdzVIZzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwj1u9GCnI-KAxULBHMJHRtDJ88=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"1Y99J8pk7HU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/1Y99J8pk7HU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAgpfxx-T9RWtAw4--OGWqnuiRypg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/1Y99J8pk7HU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBsHf3BnOmyOTXZfO6H4CaFAIw79Q","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Method of multipliers of Lagrange's linear partial differential equations part-3 by R. Sheikh автор: s.mathguru 53 перегляди 4 місяці тому 18 хвилин"}},"simpleText":"Method of multipliers of Lagrange's linear partial differential equations part-3 by R. Sheikh"},"longBylineText":{"runs":[{"text":"s.mathguru ","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@s.mathguru","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCdr3DStL2FQq4cjhpXqCkfA","canonicalBaseUrl":"/@s.mathguru"}}}]},"publishedTimeText":{"simpleText":"4 місяці тому"},"viewCountText":{"simpleText":"53 перегляди"},"lengthText":{"accessibility":{"accessibilityData":{"label":"18 хвилин і 54 секунди"}},"simpleText":"18:54"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWRI-MjDl6qhgqGeAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=1Y99J8pk7HU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"1Y99J8pk7HU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-4g5edn6r.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=d58f7d27ca64ec75 ip=217.12.208.238 mt=1733351559 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"s.mathguru ","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@s.mathguru","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCdr3DStL2FQq4cjhpXqCkfA","canonicalBaseUrl":"/@s.mathguru"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/53hkyRieQiapD9RIByNcuGSkUUO4Ghz-e6CXY1tDvl_lMqRI6wzWc6k9LuuodO2KOA7JaZldDxo=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ89A9diT0_yk38fVAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"53 перегляди"}},"simpleText":"53 перегляди"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgGIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgGIhMI9bvRgpyPigMVCwRzCR0bQyfP","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"1Y99J8pk7HU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgGIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["1Y99J8pk7HU"],"params":"CAQ%3D"}},"videoIds":["1Y99J8pk7HU"]}},{"clickTrackingParams":"CMIBEP6YBBgGIhMI9bvRgpyPigMVCwRzCR0bQyfP","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CMMBELlqIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgGIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","offlineVideoEndpoint":{"videoId":"1Y99J8pk7HU","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","getDownloadActionCommand":{"videoId":"1Y99J8pk7HU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgHIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgsxWTk5SjhwazdIVQ%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMI9bvRgpyPigMVCwRzCR0bQyfP","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwj1u9GCnI-KAxULBHMJHRtDJ88=","accessibility":{"accessibilityData":{"label":"Меню дій"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"18 хвилин і 54 секунди"}},"simpleText":"18:54"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"1Y99J8pk7HU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"1Y99J8pk7HU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CL8BEPnnAxgBIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgCIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgCIhMI9bvRgpyPigMVCwRzCR0bQyfP","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"1Y99J8pk7HU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgCIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["1Y99J8pk7HU"],"params":"CAQ%3D"}},"videoIds":["1Y99J8pk7HU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CL4BEMfsBBgCIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"Method of multipliers of Lagrange's linear partial differential equations part-3 by R. Sheikh – 18 хвилин – Перейти до каналу – s.mathguru - 53 перегляди - 4 місяці тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/1Y99J8pk7HU/mqdefault_6s.webp?du=3000 sqp=CLC8w7oG rs=AOn4CLD85if3w78K19X8b3as75d1w5GQ6Q","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"IUg-CqFuKP4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/IUg-CqFuKP4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDaSauzncCModMvMLdFU42M_Dolbw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/IUg-CqFuKP4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDcngN9PSisUqHJO1JM2tNLZllzAA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Путіну зробили привабливу пропозицію | Яковина автор: Radio NV 92 333 перегляди 7 годин тому 22 хвилини"}},"simpleText":"Путіну зробили привабливу пропозицію | Яковина"},"longBylineText":{"runs":[{"text":"Radio NV","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@radioNVua","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCVoPOHZYyNUr1GiVnRVm2ig","canonicalBaseUrl":"/@radioNVua"}}}]},"publishedTimeText":{"simpleText":"7 годин тому"},"viewCountText":{"simpleText":"92 333 перегляди"},"lengthText":{"accessibility":{"accessibilityData":{"label":"22 хвилини і 55 секунд"}},"simpleText":"22:55"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWRI-MjDl6qhgqGeAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=IUg-CqFuKP4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"IUg-CqFuKP4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-4g5ednsr.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=21483e0aa16e28fe ip=217.12.208.238 mt=1733351559 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Radio NV","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88yB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@radioNVua","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCVoPOHZYyNUr1GiVnRVm2ig","canonicalBaseUrl":"/@radioNVua"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"Нове","trackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ZkoilMpDWc6OXrZa8bRudNrHaAhvYhU99Zc8HzMu6UM_zwm-AteOrj4PEoxTmURI0JAaxQ7W=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ89A_tG4i6rBj6Qh","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"92 тисячі переглядів"}},"simpleText":"92 тис. переглядів"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"IUg-CqFuKP4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["IUg-CqFuKP4"],"params":"CAQ%3D"}},"videoIds":["IUg-CqFuKP4"]}},{"clickTrackingParams":"CLsBEP6YBBgHIhMI9bvRgpyPigMVCwRzCR0bQyfP","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CLwBELlqIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgHIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgIIhMI9bvRgpyPigMVCwRzCR0bQyfP","offlineVideoEndpoint":{"videoId":"IUg-CqFuKP4","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgIIhMI9bvRgpyPigMVCwRzCR0bQyfP","getDownloadActionCommand":{"videoId":"IUg-CqFuKP4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgIIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtJVWctQ3FGdUtQNA%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMI9bvRgpyPigMVCwRzCR0bQyfP","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAEiEwj1u9GCnI-KAxULBHMJHRtDJ88=","accessibility":{"accessibilityData":{"label":"Меню дій"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"22 хвилини і 55 секунд"}},"simpleText":"22:55"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgCIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"IUg-CqFuKP4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgCIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"IUg-CqFuKP4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CLgBEPnnAxgCIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgDIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgDIhMI9bvRgpyPigMVCwRzCR0bQyfP","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"IUg-CqFuKP4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgDIhMI9bvRgpyPigMVCwRzCR0bQyfP","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["IUg-CqFuKP4"],"params":"CAQ%3D"}},"videoIds":["IUg-CqFuKP4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CLcBEMfsBBgDIhMI9bvRgpyPigMVCwRzCR0bQyfP"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"Путіну зробили привабливу пропозицію | Яковина – 22 хвилини – Перейти до каналу – Radio NV - 92 тис. переглядів - 7 годин тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/IUg-CqFuKP4/mqdefault_6s.webp?du=3000 sqp=CPafw7oG rs=AOn4CLD3TXeR1mLDLsRTvCUmlw0sJOTTlA","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/gf8YqIagWFM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCq3V93_R4ZLA79m2FUToV181YODA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/gf8YqIagWFM/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAHznWvWBH8mKy7FQLVm9t5XVRmYw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"10 відео","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":466995,"darkTheme":466995}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Відтворити все","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":866393,"darkTheme":866393}}},"stackColor":{"lightTheme":7046297,"darkTheme":7767699}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Method of multipliers of partial differential equations"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"s.mathguru

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

New on site