10. Laplace transform and inverse transform a) Take the Laplace transform of the following ODE and find y(s): 4y" + y = (t + 1)²e-2t with initial con- ditions y(0) = -3 and y'(0) = -1. b) Find the inverse Laplace transform of F(s)= 8s+12+ / 4s² + 12s +9+477²*

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