compute y(2) if y(0)=y'(0)=0 and y''-3y'+2y=xe^x

compute y(2) if y(0)=y'(0)=0 and y''-3y'+2y=xe^x

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i'm in
i'd give it a good hard slap with a Laplace Transform, but there are probably other ways too.

i tried using the homogenous solution and the particular solution but i can't figure it out

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