Calculate the total solution of \ddot{x}(t)+2 \zeta \omega_{n} \dot{x}(t)+\omega_{n}^{2} x(t)=f_{0} \cos \omega t \text { for the case that } \mathrm{m}=1 \mathrm{~kg}, \zeta=0.01, \omega_{n}=2 \mathrm{rad} / \mathrm{s}, f_{0}=3 \mathrm{~N} / \mathrm{kg} \text {, and } \omega=10 \mathrm{rad} / \mathrm{s} \text { with initial } conditions x 1 mm and v₁ = 1 m/s, and then plot the response.