# Math 230 - Chapter 7 Study Guide

- Rewrite the piece-wise function using the unit step function.
- Find the Laplace transform for the periodic function.
- Solve the initial value problems using Laplace transforms. 3 parts.
- Solve the initial value problems as far as Y(s) =. Do not use partial fractions or attempt to find the inverse Laplace transform. 3 parts.
- The Y(s) from solving a differential equation is given. Use it to find the solution y(t). 5 parts.
- Use Laplace transforms to solve the system of differential equations.

## Notes

- You may need to bring scratch paper for extra work, although most of the problems shouldn't require more space than is given.
- You may use a formula sheet with the common Laplace transforms on it during the exam.
- You may not use Maxima during the exam.
- Make sure you can find a partial fraction decomposition for cases more complicated than what can be found with the cover-up method.

## Points per problem

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

Pts |
8 |
8 |
24 |
18 |
30 |
12 |
100 |