# Math 230 - Chapter 3&5 Study Guide

- Radioactive decay problem.
- Newton's Law of Cooling problem.
- Mixture problem.
- Series circuit problem.
- Logistics equation problem.
- Second order chemical reaction problem.
- Falling object with air resistance problem.
- Mixture system.
- Series system.
- Undamped 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.
- There are four pages with four problems on each page. You should work any 3 of the 4 problems on each page for a total of 12 problems. Each problem is worth 4 points.
- If you choose to work all four problems on a page, then each problem on that page will be worth 3 points; you do not get the "best 3 out of 4" problems.
- After setting up the problems, you should use the computer as much as possible to solve them. "As much as possible" includes use of the ode2(), ic1(), and ic(2) commands.
- You may still need to do some things by hand as Maxima has a tendency to give you answers like log(-772).