Solve the initial value problem below using the method of Laplace transforms y" + 36y=144t² - 36t+ 152. y(0) = 0, y'(0) = 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) =

Solve the initial value problem below using the method of Laplace transforms. y'' + 7y' +12y = 40et, y(0) = -7, y'(0) = 35 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

Solve the initial value problem below using the method of Laplace transforms. 6ty"-4ty' + 4y = 12, y(0) = 3, y'(0) = -5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0 st 1/2 y(t) = 1 +(1- cos t- TO sin t- 2 2. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) = 1, y'(0) = 0, where (1, 0st n/2 y(t) = 1 + u Need Help? Read It Watch It