MATH 226

Topics in Linear Algebra and Differential Equations

Assignment 3

Due: Friday, September 23

Read Section 2.1: “Separable Equations” and continue to work through the Maple Quick Guide.

Problems

Section 1.3 Definitions, Classifications, and Terminology

Practice Problems 1.3: 1-31 odd (These exercises provide a lot of practice doing differentiation which will sharpen your skills)

You may not have encountered the hyperbolic sine function sinh (pronounced “cinch”) and the hyperbolic cosine function cosh (pronounced the way it looks) before. They can be defined in various ways. Here is one:

.

Observe that each of these functions is the derivative of the other.

Note also that

Feedback Problems 1.3: 17, 31

Problem 31 features a nice application of the Fundamental Theorem of Calculus.