# Math 141 - Week 10 Notes Monday, March 22, 1999

Due to the Easter weekend next week, this assignment can be turned in on Monday April 5.

Topics for this week -

1. Complex numbers
2. second-order linear equations
3. nonhomogeneous linear equations
• Covers: Appedix H, sections 15.5,15.6
• Topics for next week -

1. Applications of second-order differential equations
2. Series solutions
3. sequence
4. series
5. The integral test and estimates of sums
6. The comparison test
• Covers: sections 15.7,15.8,10.1,10.2,10.3,10.4

• Examples

1. Solve the differential equation y"+y=0
2. Solve the initial value problem y"-2y'+y=0, y(2)=0,y'(2)=1
3. Solve the boundary value problem y"+2y'+5y=0,y(0)1,y(Pi)=2
4. Solve the differential equation y"-y'-6y=cos(3x)
5. Solve the initial value problem y"-y=xe3x, y(0)=0,y'(0)=1.

tenth Homework Assignment - Homework #10 Due Mo,April 5
1. Reading: In Chapter 15, read sections 15.5,15.6, Appedix H
2. Make sure you can do all of the Core problems for appedix H and sections 15.5, 15.6. But write up only the following to be handed in:
• Appendix H, p.A52, #8,16,22,46,48.
• Section 15.5, p.995, #1,15,17,24,26,28,29,36.
• Section 15.6, p.1002, #2,6,8,10, all of 13-16,21.