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Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use...

Use the Laplace transform to solve the following initial value problem
y”+4y=cos(8t)
y(0)=0, y’(0)=0
First, use Y for the Laplace transform of y(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(t) and its inverse Laplace transform to find the solution of the IVP:
y(t)=?
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