10) Find a particular solution of the following differential equations a) y + 3y = te-t...

 

Transcribed Image Text:

10) Find a particular solution of the following differential equations a) y" + 3y = t²e-³t + 2 sin 3t b) y" + 2y + 5y = t + 2t sint c) y" - 5y +6y= et sin 2t d) y" + 2y + 2y = 2e-t e) y" - 4y + 4y = f) y" + 4y = t² sin 2t g) y" + 3y + 2y = e¹t² + sin 2t h) y" + 2y + 5y = 3te- cos 2t 4te²t + 4t² 10) Find a particular solution of the following differential equations a) y" + 3y = t²e-³t + 2 sin 3t b) y" + 2y + 5y = t + 2t sint c) y" - 5y +6y= et sin 2t d) y" + 2y + 2y = 2e-t e) y" - 4y + 4y = f) y" + 4y = t² sin 2t g) y" + 3y + 2y = e¹t² + sin 2t h) y" + 2y + 5y = 3te- cos 2t 4te²t + 4t²

Answer rating: 100% (QA)

Solution Here are the steps and answers for each equation a y 3y te3t 2 sin 3t The complementary solution is yc c1 e3t c2 sin 3t where c1 and c2 are arbitrary constants The particular solution is yp A ... View the full answer