Solve thethird-order initial value problem below using the method of Laplace transforms.

Solve the third-order initial value problem below using the method of Laplace transforms. ' + 28v - 120y =444 e - 3t . Y(0) = 0, y(0) =7.y"(0)= -41 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 )