# Math 230 - Exam 1 Study Guide

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

## Notes

- This is a take home exam.