yy-b-x-a-ay-2-1-x-2- Tinku Tara June 4, 2023 Differential Equation 0 Comments FacebookTweetPin Question Number 128106 by bemath last updated on 04/Jan/21 yy′+b(x−a)=ay21+x2 Commented by mr W last updated on 05/Jan/21 onceiaskedthisquestionduetoQ127997,butthenicouldsolveitmyselfandthereforehavedeletedthepost.mypostexistedonlyforashorttime.thankyouthatyouhavenoticedmypostneverthelessandrestoredthequestionhere!ienjoyedthaticouldsolveQ127997completely.pleasecheckoutthesolutionthere,commentsarewelcome! Answered by liberty last updated on 04/Jan/21 yy′+b(x−a)=ay21+x2yy′−ay21+x2=b(a−x)lety2=v⇒2yy′=v′;yy′=v′2⇒v′2−a1+x2.v=b(a−x);v′−2a1+x2.v=2b(a−x)putIFμ=e−∫2a1+x2dx=e−2a.arctanxwegetv=∫2b(a−x)e−2a.arctanxdx+Ce−2.arctanx∴y2=C.e2a.arctanx+2b∫(a−x).e−2a.arctanxdx Commented by mr W last updated on 05/Jan/21 forcompletesolutionseeQ127997. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Find-lim-n-n-1-2n-1-2-1-2n-3-2-1-4n-1-2-Next Next post: 0-0-sinx-sin-x-y-x-x-y-dxdy- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.