Solve the initial value problem below using the method of Laplace transforms. y"-2y+10y=10e2t, y(0) = 1, y'(0) = 5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = (Type an exact answer in terms of e.) Solve the initial value problem below using the method of Laplace transforms. y" +36y=36t-180t+ 110, y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =