First, verify that the given function is a solution of the given differential equation, for any constantsA, B.Then, solve forA, Bso thatysatisfies the given initial or boundary conditions.
y″ +4y =8x2;y(x) =2x2− 1 + Asin 2x+ Bcos 2x,y(0) =1,y′(0) =0
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