Numerically integrate and plot the response of an underdamped system determined by m=100 kg, k=20000 N/m, and c=200 kg/s, subject to the initial conditions of x0=0.01 m and v0=0.1 m/s and the applied force F(t)=150cos(5t). Then plot the exact response as computed by the equation. Compare the plot of the exact solution to the numerical simulation.

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