Question: Solve the third-order initial value problem below using the method of Laplace transforms. y'' + 4y-20y - 48y = -288, y(0) = 12, y'(0) -

Solve the third-order initial value problem below using the method of Laplace transforms. y'' + 4y"-20y - 48y = -288, y(0) = 12, y'(0) - 28, y"(0) - -56 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.)

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