this question is about damped and undamped oscillators.

Question#6 [CLO-2; PLO-2; Q Marks-10] The displacement at) of on undamped oscilator of mass m > 0 on a spring with spring constant k > 0 satisfies mx* + kx =0, x(0) =a, x'(0) =0. (a) Solve this initial value problem. (b) Show that the solution is periodic with period T. meaning that x(t+ D) =x(t. (c) For what times t does the oscilator pass through equilibrium