Exam 2

Friday April 3
Closed book
Through section 5.1
Calculators are permitted
Show your work so that I may give part credit for incorrect answers.
I will include at least one problem from Exam 1 makeup.
Chapter 4 Review: 2, 3, 4, 7, 9-11, 24, 38
Chapter 5 Review: 1, 2, 3, 18.

Methods

~~Solution by substitution (homogeneous equations)~~
Euler's method
Reduction of order
Homogeneous linear equations with constant coefficients
Undetermined coefficients for finding a particular solution
Cauchy/Euler equations
Differential operators for systems of equations (solving by systematic elimination)

Applications

Growth and decay
Newton's Law of cooling/warming
Mixtures
Population growth and the logistic equation
Predator prey model
~~Spring/mass systems~~

Concepts

Linear independence
Wronskians
The difference between initial-value and boundary-value problems