{"id":11034,"date":"2019-08-28T11:04:14","date_gmt":"2019-08-28T11:04:14","guid":{"rendered":"https:\/\/assignment.essayshark.com\/blog\/?p=11034"},"modified":"2021-12-30T09:11:28","modified_gmt":"2021-12-30T09:11:28","slug":"second-order-differential-equation-example","status":"publish","type":"post","link":"https:\/\/assignmentshark.com\/blog\/second-order-differential-equation-example\/","title":{"rendered":"Second Order Differential Equation Example"},"content":{"rendered":"

Solve the following second order differential equation:<\/p>\n

\"second<\/a>
\n<\/p>\n

Solution<\/strong><\/p>\n

Let\u2019s write the auxiliary equation:<\/p>\n

\"second<\/a><\/p>\n

Now it can be rewritten in the next form:<\/p>\n

\"second<\/a><\/p>\n

So, the roots are:<\/p>\n

\"second<\/a>
\nThe general solution for the differential equation is:<\/p>\n

\"second<\/a>
\nFinally, we should find the unknown coefficients<\/p>\n

\"\"<\/a><\/p>\n

\"solution<\/a><\/p>\n

2. Solve the following second order differential equation:<\/p>\n

\"analyzed<\/a><\/p>\n

Solution<\/strong><\/p>\n

The auxiliary equation will be:<\/p>\n

\"\"<\/a><\/p>\n

The roots of the auxiliary equation will be:<\/p>\n

\"second<\/a><\/p>\n

Thus, the solution for the differential equation is:<\/p>\n

\"second<\/a>
\nUsing initial values:<\/p>\n

\"second<\/a><\/p>\n

\"second<\/a><\/p>\n

\"second<\/a><\/p>\n

Mathematics often becomes a major pain, especially when you have no time to do your homework. And second order differential equations will fill your nightmares, along with the imposing deadlines. That\u2019s not how it\u2019s supposed to be! You have to deal with this mathematical horror once and for all.<\/em><\/p>\n

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If you need math assignment help<\/a> with your homework or any other discipline, fill in the order form. Assign one of our experts for your order and get better grades!<\/em><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Solve the following second order differential equation:<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[55,35],"tags":[],"class_list":["post-11034","post","type-post","status-publish","format-standard","hentry","category-math","category-samples"],"_links":{"self":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/11034","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/comments?post=11034"}],"version-history":[{"count":7,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/11034\/revisions"}],"predecessor-version":[{"id":12761,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/11034\/revisions\/12761"}],"wp:attachment":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/media?parent=11034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/categories?post=11034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/tags?post=11034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}