Ordinary Differential Equations, MATH 304-01

Homework Assignment #5

Due FRIDAY, October 15, START of Class


Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Hirsch, Smale and Devaney text. Unless otherwise noted, each part (a), (b), (c), etc. of a problem should be answered. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with on the assignment. Also be sure to cite any texts, websites, manuals, etc. you may have used.

Chapter 3 Exercises (pp. 57 - 60)
Problems:   1, 2* (see below), 10, 11, 15

Note: For #2, do all four parts (a) through (d) for the matrices in parts (i) and (iv) as well as for the matrices
A =   -2   -5
    2     0
    and     A =   -2    1
    2   -3
For #10, you may assume that b is not zero and should draw two phase portraits, one for the case   a + d > 0   and one for the case   a + d < 0   .