What This Document Is
This document represents a final project completed for Purdue University’s Ordinary Differential Equations (MA 26600) course, Summer 2014. It applies the concepts and tools learned in the course to a practical problem in Electrical Engineering – specifically, analyzing an R-C circuit. The project focuses on determining the voltage on a capacitor as a function of time and evaluating its steady-state behavior.
Why This Document Matters
This project is intended for students enrolled in the course as a culminating assessment of their understanding. It demonstrates the real-world applicability of differential equations and the ability to model and analyze electrical systems. It serves as a demonstration of applied mathematical skills for a specific engineering discipline.
Common Limitations or Challenges
This document is a completed student project and does not represent a comprehensive textbook or tutorial on differential equations or electrical engineering. It focuses on a single, specific application and may not cover the breadth of topics within the course.
What This Document Provides
The full document includes a mathematical analysis of the R-C circuit, including the derivation of the differential equation and its solution. It also contains graphical representations of the voltage response using MATLAB. A list of references is provided. This preview does *not* include the full mathematical derivations, MATLAB code, or detailed figures. It does *not* provide a step-by-step guide to solving differential equations.
