Use the Laplace transform to solve the following initial value problem: y'' + 3y' = 0, y(0) = 4, y'(0) = 4. 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. Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) = A/(s+a) + B/(s+b) where a < b. Now, by inverting the transform, find y(t).