This is a Laplace Transform problem. dy/dt = -y + t^2. I formed the inverse laplace transform equation which i verified is correct, then i took partial fraction decompositions and got for a final answer that y = (L inverse) [2/s^3 - 1/(s+1)]. and hence, y = t^2 - e^-t. however the book states that the answer is t^2 - 2*t + 2 - e^-t. where did i go wrong??