MATH 226

 Differential Equations

Assignment 3

Due: Friday, February 25

Read

 

Section 2.1: “Separable Equations,” continue to work through the Maple Quick Guide, install MATLAB and work through “Course Overview” and “Commands” in the MATLAB self-paced tutorials at https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

 

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.