Use Fourier Transforms to find the complete solution x(t) for the displacement of the damped, driven harmonic oscillator for the case of critical damping alpha^2 = omega_0^2. As described in class, x(t) satisfies: d^2 x(t)/dt^2 + 2 alpha dx(t)/dt + omega_0^2 x(T) = A(t) and we will take the driving term A(t) to be given by A(t) = {A_0, |t| lessthanorequalto tau 0, |t| > tau