Question

Question 4

4. Determine what the guess solution yp would be for the method of undetermined Coefficients, for each non homogeneous linear equation : q. y" + 4y = sin(2t)+ + - 1 t/ b. 4y" - 4y + y = 16e

Answer 1

_92 - sinat + t² ? O sin2t++31 Auxico y equestrian =0 y tuy Lor (D²+424 m2+4= >m= Izi Yalt) = , Coszt + $ Sinat Now since sint condréasat and common in losjesbooding and particular solution Guens therefore yoct) = (cosat+ B sibet)t +c+D2 EttF 9u - (A Cosatt Beinat)t + c3 +0t2 tettF. CS Scanned with CamScanner

416) Elz 14 e 4 yil uylty +27 40² 40+ =lue oth Auxilary zequating y oum2 -4m+Leo m= 4 I/16-16 x 4 8 Yect) = Get Cat e is common an Corresponding solution there fore muerfausticus solution Leden the Yo (t) =ate t12 e t/2 LAG yet CS smarned with Comicanner