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: