{"id":121748,"date":"2022-05-18T17:04:04","date_gmt":"2022-05-18T11:34:04","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=121748"},"modified":"2022-05-19T10:44:32","modified_gmt":"2022-05-19T05:14:32","slug":"find-the-general-solution-of-the-following-differential-equation","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/education\/find-the-general-solution-of-the-following-differential-equation","title":{"rendered":"Find the general solution of the following differential equation:"},"content":{"rendered":"<h2>Find the general solution of the following differential equation:<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-121703\" src=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/16-15.png\" alt=\"\" width=\"201\" height=\"45\" srcset=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/16-15.png 201w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/16-15-150x34.png 150w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/p>\n<h3>Answer.<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-121706 size-full\" src=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/18-11.png\" alt=\"\" width=\"448\" height=\"265\" srcset=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/18-11.png 448w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/18-11-150x89.png 150w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/18-11-300x177.png 300w\" sizes=\"auto, (max-width: 448px) 100vw, 448px\" \/><\/p>\n<h3>\ud835\udc59\ud835\udc5c\ud835\udc54|\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63| = \u2212\ud835\udc59\ud835\udc5c\ud835\udc54|\ud835\udc65| + \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e,\ud835\udc3e &gt; 0 (Here, \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e is an arbitrary<br \/>\nconstant.)<br \/>\n\u21d2 \ud835\udc59\ud835\udc5c\ud835\udc54|(\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65| = \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e<br \/>\n\u21d2 |(\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65| = \ud835\udc3e<br \/>\n\u21d2 (\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65 = \u00b1\ud835\udc3e<br \/>\n\u21d2 (\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50 \ud835\udc66\/\ud835\udc65\u2212 \ud835\udc50\ud835\udc5c\ud835\udc61 \ud835\udc66\/\ud835\udc65) \ud835\udc65 = \ud835\udc36, which is the required general solution.<\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Find the general solution of the following differential equation: Answer. \ud835\udc59\ud835\udc5c\ud835\udc54|\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63| = \u2212\ud835\udc59\ud835\udc5c\ud835\udc54|\ud835\udc65| + \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e,\ud835\udc3e &gt; 0 (Here, \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e is an arbitrary constant.) \u21d2 \ud835\udc59\ud835\udc5c\ud835\udc54|(\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65| = \ud835\udc59\ud835\udc5c\ud835\udc54\ud835\udc3e \u21d2 |(\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65| = \ud835\udc3e \u21d2 (\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50\ud835\udc63 \u2212 \ud835\udc50\ud835\udc5c\ud835\udc61\ud835\udc63)\ud835\udc65 = \u00b1\ud835\udc3e \u21d2 (\ud835\udc50\ud835\udc5c\ud835\udc60\ud835\udc52\ud835\udc50 \ud835\udc66\/\ud835\udc65\u2212 \ud835\udc50\ud835\udc5c\ud835\udc61 \ud835\udc66\/\ud835\udc65) \ud835\udc65 = \ud835\udc36, which is the required [&hellip;]<\/p>\n","protected":false},"author":21830,"featured_media":121721,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":{"0":"post-121748","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-education"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121748","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=121748"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121748\/revisions"}],"predecessor-version":[{"id":121749,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121748\/revisions\/121749"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/121721"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=121748"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=121748"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=121748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}