Using Matlab. Using Graph.

The following is equation of a motion of a simple pendulum d^2 theta/dt^2 + mg/L sin(theta) = 0 with m = 1, g = 9.8 and L = 0.5, Linearize the model about the equilibrium point, theta = 0. Simulate both the nonlinear system and the linearized version for theta (0) = 0.1 and theta (0) = 0. Compare the two responses. Repeat for theta (0) = pi/4 and theta (0) = 0. The following is equation of a motion of a simple pendulum d^2 theta/dt^2 + mg/L sin(theta) = 0 with m = 1, g = 9.8 and L = 0.5, Linearize the model about the equilibrium point, theta = 0. Simulate both the nonlinear system and the linearized version for theta (0) = 0.1 and theta (0) = 0. Compare the two responses. Repeat for theta (0) = pi/4 and theta (0) = 0