Question

Use variation of parameters to solve the given nonhomogeneous system. x=(-1 %)x+(-3)* xce) -

Answer 1

Given .. *='( 3 )x+19 Jet. Les xehe R. ..be the solution of the im homogeneoin ea? x = Ax; where "A= ( ) alt bl47. Gamed) > x=(rad Kz ( Then , MCE)= Ke , bet kiere The character in tic ean of Ain i Ora - 5210 a i caris) turo .am-50 444 =0 s. de 14. K=( KAI be eigen vector for 251. Then, Š -k tuk to .-n turto у К, - ч on K ing = 9, say - чечи к tain lady choosing Ga, we have, K=4, KET nonzero

KC Similarly for asy, it *? ( les be the eigen vector then, Tuk tukz=0 M tkz 20. - Kp = Rs4, say ca in non-zero real no.) Chooting eq=1, we have R2) < () 7. Xn CH = Cz ( het I tey [g, in are arbitrary const.) fundamented matrica GME Plita a le IU,CH I UCH) Кщ X, te) Фін иі» . thи, Xp = Axples tb (4) given Tui plisaltla b(E). in et eut l / ujets largel et eut) | Mich) laye, i luet eu6pt/get I l et eut , l-get CH

-32 Integrating : WC ( = /uet e til: -- Xplej = pisuciti Flet eut) I sest | / 24 tettset . .. l bbet tset). .: General. Solution in X(6= Kilts Exp.lt :: är det inte ut 11/24tet tset | : :: ( de tailleur) | brettet)