{"id":34085,"date":"2024-03-23T18:42:55","date_gmt":"2024-03-23T18:42:55","guid":{"rendered":"https:\/\/academicwritersbay.com\/writings\/general-solution-of-the-following-des\/"},"modified":"2024-03-23T18:42:55","modified_gmt":"2024-03-23T18:42:55","slug":"general-solution-of-the-following-des","status":"publish","type":"post","link":"https:\/\/academicwritersbay.com\/writings\/general-solution-of-the-following-des\/","title":{"rendered":"General solution of the following DEs"},"content":{"rendered":"<div class=\"section_wrapper\">\n<div class=\"the_content_wrapper\">\n<p>Obtain the general solution of the following DEs:<\/p>\n<p>i. y\u2032\u2032\u2032 + y\u2032\u2032 \u2212 4y\u2032 + 2y = 0<\/p>\n<p>\u00a0<\/p>\n<p>ii. y(4) + 4y(2) = 0<\/p>\n<p>iii. x(x \u2212 2)y\u2032\u2032 + 2(x \u2212 1)y\u2032 \u2212 2y = 0; use y1 = (1 \u2212 x)<\/p>\n<p>\u00a0<\/p>\n<p>iv. y\u2032\u2032 \u2212 4y = sin2(x)<\/p>\n<p>\u00a0<\/p>\n<p>v. y\u2032\u2032 \u2212 4y\u2032 + 3y = x ; use y1 = e3x<\/p>\n<p>\u00a0<\/p>\n<p>vi. y\u2032\u2032 + 5y\u2032 + 6y = e2xcos(x)<\/p>\n<p>\u00a0<\/p>\n<p>vii. y\u2032\u2032 + y = sec(x) tan(x)<\/p>\n<\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Obtain the general solution of the following DEs: i. y\u2032\u2032\u2032 + y\u2032\u2032 \u2212 4y\u2032 + 2y = 0 \u00a0 ii. y(4) + 4y(2) = 0 iii. x(x \u2212 2)y\u2032\u2032 + 2(x \u2212 1)y\u2032 \u2212 2y = 0; use y1 = (1 \u2212 x) \u00a0 iv. y\u2032\u2032 \u2212 4y = sin2(x) \u00a0 v. y\u2032\u2032 \u2212 4y\u2032 &#8230; <a title=\"General solution of the following DEs\" class=\"read-more\" href=\"https:\/\/academicwritersbay.com\/writings\/general-solution-of-the-following-des\/\" aria-label=\"Read more about General solution of the following DEs\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-34085","post","type-post","status-publish","format-standard","hentry","category-essaywr"],"_links":{"self":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/posts\/34085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/comments?post=34085"}],"version-history":[{"count":0,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/posts\/34085\/revisions"}],"wp:attachment":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/media?parent=34085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/categories?post=34085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/tags?post=34085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}