Question

1. Use the method of variation of parameters to find a particular solution x, using the given fun- damental set of solutions {x1, x2}. *= ( = -1)x+(%) x1=e*(), x=e*(+)

Answer 1

By_variation__of_Parameter particulas solutionis Method _ Xp(t) = eth where A = [X X2] and_E: SM) ft) व Giron_= at FCt) = (a) and A= :) dettet) = 0 + ēt -2t det lett ezt IfA=La bland det to then Ă = derca) [ & b]

Date_ I_ et] Tag stet Topk CLA IF(t) + stet et 7-6] E- ot 94 Fostet ogtet I bet to =Ft- -toets Tuit)= Aj f(t) de Fatet Htett ult)= [ 3tét-3 et I bet xptt- = cth uce - =10 cēt stet-zett -tettéH et -= [0 -6 _ 13t-3 +60 J Xpct) = I=6 7 Lot-347 Answer particular solution is Xplt=1-6 - gt-34