This document presents a comprehensive solution to an Engineering Maths and Modelling assignment. It begins by solving a differential equation related to a physical system, deriving the equation of motion, and employing MATLAB to simulate and visualize the system's response over time. The solution then explores harmonic motion, changing the forcing term and analyzing the effects of natural frequency and damping. The assignment further delves into dynamic response analysis, providing MATLAB code to solve a multi-degree-of-freedom system, including the mass, damping, and stiffness matrices, and the driving force. The MATLAB code utilizes the ode45 solver to compute the system's response and includes functions for modal superposition, interpolation of the forcing function, and plotting the results.
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