{"id":158234,"date":"2023-09-09T11:58:01","date_gmt":"2023-09-09T06:28:01","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=158234"},"modified":"2023-09-09T11:58:02","modified_gmt":"2023-09-09T06:28:02","slug":"one-of-the-points-which-lies-on-the-solution-curve-of-the-following-differential-equation","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/one-of-the-points-which-lies-on-the-solution-curve-of-the-following-differential-equation\/","title":{"rendered":"One of the points which lies on the solution curve of the following differential equation"},"content":{"rendered":"\n<p>Q. One of the points which lies on the solution curve of the following differential equation<\/p>\n\n\n\n<p>2\ud835\udc65\ud835\udc66 \ud835\udc51\ud835\udc65 + (\ud835\udc65<sup>2<\/sup> + \ud835\udc66<sup>2<\/sup>) \ud835\udc51\ud835\udc66 = 0<\/p>\n\n\n\n<p>with the initial condition \ud835\udc66(1) = 1 is<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A) (\u22121, 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) (0, 0)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) (0, 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) (2, 1)<\/p>\n\n\n\n<p>Ans: (-1, 1)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. One of the points which lies on the solution curve of the following differential equation 2\ud835\udc65\ud835\udc66 \ud835\udc51\ud835\udc65 + (\ud835\udc652 + \ud835\udc662) \ud835\udc51\ud835\udc66 = 0 with the initial condition \ud835\udc66(1) = 1 is \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A) (\u22121, 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) (0, 0)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) (0, 1)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) (2, 1) Ans: (-1, 1)<\/p>\n","protected":false},"author":419,"featured_media":158242,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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