hello , this will be a well built scientific report that includes and introduction, method ,results and conclusion

more importantly, a simulation must be done to study the driven pendulum using MATLAB, the instructions are given in the figure below

Damped driven pendulum Adamped pendulum is characterized by oscillatory motion. similar to a mass on a spring at small amplitudes, however it become most interesting at large amplitudes. You are to implement a solver that simulates the pendulum's motion given an initial condition (position & velocity), a forcing term {e.g. periodic} and pendulum characteristics (mass, length, and damping}. A central question to consider is how does the pendulum behave under different conditions? How well does your numerical solution match analytical solutions? You may need to implement analysis tools [e.g. Fourier analysis} to fully answer this question. You will also need to consider issues such as the difference between transient and long-term behaviour, and the effect of non-linearity