Find the response of a simple pendulum numerically by solving the exact equation: [ddot{theta}+frac{g}{l} sin theta=0] with

Question:

Find the response of a simple pendulum numerically by solving the exact equation:

\[\ddot{\theta}+\frac{g}{l} \sin \theta=0\]

with $\frac{g}{l}=0.01$ and plot the response, $\theta(t)$, for $0 \leq t \leq 150$. Assume the initial conditions as $\theta(t=0)=\theta_{0}=1 \mathrm{rad}$ and $\dot{\theta}(t=0)=\dot{\theta}_{0}=1.5 \mathrm{rad} / \mathrm{s}$. Use the MATLAB function ode23 for numerical solution.