Unit LO4: Models of Engineering Systems using ODEs Homework

This assignment solution covers several key concepts in engineering mathematics, focusing on ordinary differential equations (ODEs). The solution addresses problems related to the variation of resistance with temperature in an aluminum conductor, the equation of motion of an oscillating body, and Newton's law of cooling. It includes detailed steps for solving these problems, such as integrating differential equations, applying initial conditions, and using Laplace transforms. The assignment also explores the rate of cooling of a body and the analysis of a CR circuit, providing a comprehensive understanding of how ODEs are applied in various engineering scenarios. The solution is well-structured, with clear explanations and calculations, making it a valuable resource for students studying engineering systems and differential equations.