Question: Please help with the following question (multiple part) (10 points) Given the second order initial value problem y Zy' 8y = 65(t 2), y(0) =

Please help with the following question (multiple part)

Please help with the following question (multiple
(10 points) Given the second order initial value problem y\" Zy' 8y = 65(t 2), y(0) = 6, y'(0) = 6- Let Y(s) denote the Laplace transform of y. (a) Apply the Laplace transform E to the equation and write down the resulting equation about Y(s). (b) Solve for Y(s). (c) Take the inverse Laplace transform [71 and obtain the solution y(t) for the initial value

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