Please need an answer asap

Use the Laplace transform to solve the following initial value problem: if' + Ay = cos(5t) #/(0) =0, 1/(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 ) =