# Math 230 - Chapter 5 Study Guide

- Undamped spring/mass system.
- Dampled spring/mass system.
- Driven spring/mass system.
- LRC circuit.
- Find the eigenvalues and eigenfunctions.
- Beam deflection.
- Find a Maclaurin series polynomial for a spring/mass system with non-linear damping. Graph the solution to the IVP.
- Find a Maclaurin series polynomial for a spring/mass system with non-linear damping. Graph the solution to the IVP.

## Notes

- This is a take home exam.
- After setting up the problems, you should use the computer as much as possible to solve them.
- You may wish to download a numerical solver. wzgrapher is a free one. It has some problems, but will be sufficient for this exam.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Total |

Pts |
7 |
5 |
6 |
5 |
8 |
7 |
6 |
6 |
50 |