# Math 230 - Exam 1 Study Guide

- Identify the order of each differential equation and whether it is linear or non-linear. Three 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.
- Verify the one parameter family of curves is a solution.
- Verify the pair of functions is a solution.
- Given the general solution, find the particular solution to the IVP.
- Given the general solution, find the particular solution to the IVP.
- 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
- Application problem - memorization

## Notes

- This is a take home exam.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
Total |

Pts |
3 |
4 |
4 |
4 |
4 |
4 |
4 |
3 |
5 |
5 |
5 |
5 |
50 |