Use the Laplace transform to solve the following initial value problem: y'' = 2, y(0) = 4, y'(0) = -2. (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =