# A Practical Review of Linear Ordinary Differential Equations

In your Dynamic Systems & Control course, you are going to need to solve elementary differential equations like a pro. You will need to solve the equations and interpret the solutions with very little effort. I know that all of you have taken a differential equations course in which all the necessary background has been covered. However, it has been my experience that students entering MEE 322 are a bit rusty.

The purpose of these notes is to refresh your memory. I have intentionally left out a bunch of the theory that would normally accompany a thorough discussion of differential equations. You can refer back to your differential equations text for that. Here, I try to cover just the most important aspects that you will need to be fluent with if you are going to succeed in your Dynamic Systems & Control course.

The link to the manuscript is here.

##### Table of contents

- What Does it Mean to Solve a Differential Equation? (Quiz A)
- First Order, Constant Coefficient, Linear, Homogenious Differential Equations (Quiz B, Quiz C, Quiz D)
- Second Order Equations
- Higher Order Equations

More content to come…

In parentheses, I have listed the quizes associated with each chapter. If you are a MEE 322 student, you are required to get a perfect score on each of the quizzes (eventually).