Numerically integrate and plot the response of an

Question

Numerically integrate and plot the response of an underdamped system determined by m = 100 kg, k = 20,000 N>m, and c = 200 , subject to the initial conditions of x₀ = 0.01 m and v₀ = 0.1 m>s, and the applied force F(t) = 150 cos 5t. Then plot the exact response as computed by equation (2.33). Compare the plot of the exact solution to the numerical simulation.

Equation 2.33- (ω²A_s + 2ζω_πωB_s + ω_π²A_s - f₀)cosωt + (-ω²B_s - 2ζω_πωA_s + ω_π²B_s)sinωt = 0.