In each of Problems 11 through 14, find and plot both the steady periodic solution x sp (t) = C cos(t - ) of the

In each of Problems 11 through 14, find and plot both the steady periodic solution x_sp(t) = C cos(ωt - α) of the given differential equation and the actual solution x(t) = x_sp(t) + X_tr(t) that satisfies the given initial conditions.

x" + 8x' + 25x = 200 cost + 520 sint ; x(0) = -30, x' (0) = -10