# Math 230 - Chapter 7 Study Guide

1. Rewrite the piece-wise function using the unit step function.
2. Find the Laplace transform for the periodic function.
3. Solve the initial value problems using Laplace transforms. 3 parts.
4. 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.
5. The Y(s) from solving a differential equation is given. Use it to find the solution y(t). 5 parts.
6. 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

 # Pts 1 2 3 4 5 6 Total 8 8 24 18 30 12 100