Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution. w" +w= 5u(t- 2) - 3u(t- 5); w(0) = 1, w'(0) = 0 Click here to view the table of Laplace...

Extracted text: Solve the given initial value problem using the method of Laplace transforms. y" + 9y' + 18y = tu(t- 1); y(0) = 0, y'(0) = 3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = U