## Homework Assignment #6

(due: May 20 in class)

### Theory Part:

**Problem 1 **(50%):

Consider the following initial value problem:

y''' + y'' - 4*y' = 0 0<= t <= 2

y(0) = 3; y'(0) = -1; y''(0) = 9

Transform this problem into a system of 3 coupled first order ODEs. (You don't have to solve it!!)

**Problem 2 **(0%):

This is a reading assignment: Review Norms of Vectors and Matrices. I.e., read section 7.1. In particular, review:

Def. 7.1, Def. 7.2, Def. 7.4, Def. 7.5, Def. 7.8 and

Theorems 7.6, 7.7, 7.9, 7.11

**Problem 3 **(50%):

Do problem 2(a) of Section 7.1 in the textbook.

###