# Math 230 - Chapter 3&5 Study Guide

2. Newton's Law of Cooling problem.
3. Mixture problem.
4. Series circuit problem.
5. Logistics equation problem.
6. Second order chemical reaction problem.
7. Falling object with air resistance problem.
8. Mixture system.
9. Series system.
10. Undamped spring/mass system.
11. Driven spring/mass system.
12. LRC circuit.
13. Find the eigenvalues and eigenfunctions.
14. Beam deflection.
15. Find a Maclaurin series polynomial for a spring/mass system with non-linear damping. Graph the solution to the IVP.
16. 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).