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Solve the third-order initial value problem below using the method of Laplace transforms. y + 5y+ 28y -34y -232 e , y(0) =0, y'(0)

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Solve the third-order initial value problem below using the method of Laplace transforms. y " + 5y"+ 28y -34y -232 e , y(0) =0, y'(0) = -4, y"(0) = -51 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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