Question: Please help with the following question (multiple part) (10 points) Consider the initial value problem y +9y = 0, y(0) = 6, y'(0) = 6-

Please help with the following question (multiple part)

(10 points) Consider the initial value problem y\" +9y = 0, y(0) = 6, y'(0) = 6- Denote Y(s) = (y(t)) as the Laplace transform of the solution y(t). (a) Apply the Laplace transform 1 to the equation and write down the resulting equation about Y(s). (b) Solve for Y(s). (c) Take the inverse Laplace transform 51 and obtain the solution y(t) for the initial value

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