Question: Use the Laplace transform to solve the following initial value problem: y + 4y = cos(7t) y(0) = 0, y'(0) =0 First, using Y for

Use the Laplace transform to solve the following initial value problem: y" + 4y = cos(7t) 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: 5 Y(S) = + 4 s' + 49 Find the partial fraction decomposition of Y"(s) and its inverse Laplace transform to find the solution of the IVP: y ( t ) =

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