a) Use the Laplace method to find the solution y(t) for the initial value problem given by y(0) = 1 and y' (0) = 1. The differential equation y'' 2y' 4y = t² . You may use WolframAlpha (or other symbolic tools) to determine the inverse Laplace transform without writing down the intermediate steps or the partial fraction decomposition. You may wish to check that the solution is indeed a solution to the initial value problem.