{"id":34075,"date":"2024-03-23T15:43:49","date_gmt":"2024-03-23T15:43:49","guid":{"rendered":"https:\/\/academicwritersbay.com\/writings\/ode\/"},"modified":"2024-03-23T15:43:49","modified_gmt":"2024-03-23T15:43:49","slug":"ode","status":"publish","type":"post","link":"https:\/\/academicwritersbay.com\/writings\/ode\/","title":{"rendered":"ODE"},"content":{"rendered":"<p>Obtain the general solution of the following DEs:<br \/> i. y\u2032\u2032\u2032 + y\u2032\u2032 \u2212 4y\u2032 + 2y = 0<\/p>\n<p>ii. y(4) + 4y(2) = 0<br \/> 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>iv. y\u2032\u2032 \u2212 4y = sin2(x)<\/p>\n<p>v. y\u2032\u2032 \u2212 4y\u2032 + 3y = x ; use y1 = e3x<\/p>\n<p>vi. y\u2032\u2032 + 5y\u2032 + 6y = e2xcos(x)<\/p>\n<p>vii. y\u2032\u2032 + y = sec(x) tan(x)<\/p>\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 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) iv. y\u2032\u2032 \u2212 4y = sin2(x) v. y\u2032\u2032 \u2212 4y\u2032 + 3y = &#8230; <a title=\"ODE\" class=\"read-more\" href=\"https:\/\/academicwritersbay.com\/writings\/ode\/\" aria-label=\"Read more about ODE\">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-34075","post","type-post","status-publish","format-standard","hentry","category-essaywr"],"_links":{"self":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/posts\/34075","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=34075"}],"version-history":[{"count":0,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/posts\/34075\/revisions"}],"wp:attachment":[{"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/media?parent=34075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/categories?post=34075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/academicwritersbay.com\/writings\/wp-json\/wp\/v2\/tags?post=34075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}