Solve the following initial value problem using Laplace transforms 2. dt2 dy dt +8. +16y 86(t-3), dy y(0) = 6, (0) = 4 (1) Find F(s) =L(f(t)) for f(t) = 88(t-3) F(s) = (2) By applying Laplace Transforms to the differential equation compute Y(s) = L(y(t)) Y(s)= (3) By calculating the inverse Laplace transform determine the solution of the differential equation y(t) = for t> for t < (Try completing the square method)