PLEASE USE AND PROVIDE MATLAB CODE to answer this question

The oscillations of a swinging pendulum can be simulated with the following nonlinear model: dt2d2+lgsin=0 where = the angle of displacement, g= the gravitational constant, and l= the pendulum length . For small angular displacements, the sin is approximately equal to and the model can be linearized as dt2d2+lg=0 Use ode 45 to solve for as a function of time for both the linear and nonlinear models where l=0.6m and g=9.81m/s2. First, solve for the case where the initial condition is for a small displacement (=/8 and d/dt=0). Then repeat the calculation for a large displacement (=/2)