Consider the mechanical system shown in Figure 6. 1x (4) k fund x (t) m Figure 6. Non-linear mechanical system >f(t) If the spring is non-linear, and the force, required to stretch the spring is Fs-kx1n, where n-is the power ratio (system parameters: m1.kg-66; m2 kg-15; c.Ns/m-35; kN/m- 438, f(t), N-380), write down the equations of motion of the system and perform following: a) Develop MATLAB-function describing the second-order differential equation of motion (EOM) of the system in Figure 3. Write MATLAB script to solve EOMs and plot the position and velocity of each of the masses on the separate graphs. b) Explore system behavior when n = 1, 2, 3. Superpose the results and compare them with the linear case, when n = 1. Discuss the results.