Math 230 - Exam 1 Study Guide

1. Identify the order of each differential equation and whether it is linear or non-linear. Four parts.
2. Find the values of m so that the function y = e^mx is a solution.
3. Find the values of m so that the function y = x^m is a solution.
4. Given a differential equation and its general solution, find the solution to the initial value problem.
5. Determine a region in the xy-plane that has a unique solution.
6. Application problem - spread of flu
7. Application problem - mixture
8. Application problem - drug in bloodstream
9. Verify the one parameter family of curves is a solution.

Notes

• This is a take home exam.