Please provide any MATLAB code you used for plotting.

x(t) y(d) Consider the spring-mass-damper system above travelling along a bumpy surface with a height change. The damping ratio is -0.2, the natural frequency is 3 rad/s, and the mass, m-200 kg. The wheel does not lose contact with the road and the road has the shape, (d0H(d 10) where d is distance in meters, and y(d) is the height in centimeters. 1. Write the ordinary differential equation for v-1 m/s and v-5 m/s. 2. The solution of x(t) is a combination of the homogeneous response, (t), forced sinusoidal response, ZP1(t), and forced step response, P2(t). Solve for the homogeneous and forced response, x(t) - for the base excitation for d