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

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.

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