According to the given information, it is required to find the inverse of Laplace transform using convolution theorem.
it is required to find
the inverse laplace of G(s) and H(s) are
The convolution theorem states that if G(s) and H(s) are the Laplace transform of g(t) and h(t) then,
Now solve the integral to find the inverse.
Solution of I.V.P for harmonic oscillator with driving force is given by Inverse Laplace transform
Please find laplace and inverse Laplace