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- Solve the IVPx”+9x = U(t-2)sin[3(t-2)], x(0)=2, x’(0)=0using Laplace Transforms. Identify xc, xpinyour solutions. Show work to justify youranswers.Determine the solution of the differential eqution shown using Laplace and Inverse Laplace Transforms (using Heaviside Expansion Theorem).Use Laplace transforms to solve the IVP y''-y=0, y(0)=2, y'(0)=3. Show the complete solution.