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Ilust) -Sult) Siers 1- Cam?(t) b) Use variation of parameters to solve the nonhomogeneous system X Apa 0 / 0 F(t) at f(t)= i

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sect Given X t x=AX +t) sect get)= ToA O 1 = 161 characteyistic equation is givenby 2+10 Nouw eigen neetor for d- tu =(1,i)Similasty for di KCI-) Ci Now fondamental ma tox is ginen by elt pcti liet iet 1c0)1 -10 -2 -ieb -ieit Now - elt T sectt(ett) -it (et) tam t + 2. 2 t cost t tant tsint- Rp Humee t coSt t tart + Ca tSint - COSt tamt t t sint -it + Ca

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