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(1 point) Use the Laplace transform to solve the following initial value problem: y" + 9y = cos(5t) y(0) = 0, y' (0) = 0 First, using Y for the Laplace transform of y(t), i.e., Y = Cty(t) }. find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s) = Find the partial fraction decomposition of Y (s) and its inverse Laplace transform to find the solution of the IVP: y(t) =