Find the solution of the given inital value problem.(adsbygoogle = window.adsbygoogle || []).push({});

y"-2y'+y=te^t+4 y(0)=1 y'(0)=1

r^2-2r+1=0

(r-1)^2

so r= -1

my homogenous solution is y_h(t)=c_1e^-t+c_2te^-t

I have no idea where to begin for the particular solution. I know a need a guess, and I would think it would be Ate^t, but I really don't know.

Can someone please help me out?

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# Differential equation

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