## Homework 1, due August 30, 2006.

Due Wednesday, August 30, 2006.
goodwine
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### Homework 1, due August 30, 2006.

Unless specified to the contrary, any computer programs and plots may be created using any software that you choose.

Also unless otherwise indicated, all the assigned problems are from the course text, Elementary Differential Equations and Boundary Value Problems, by Boyce and DiPrima, 8th Edition and each problem is worth 10 points.
1. Section 2.1: 4
2. Section 2.2: 25
3. Section 2.4: 32
4. Section 2.6: 22
5. For each of the following, classify the equation as
• linear or nonlinear (1 point)
• homogeneous or inhomogeneous (1 point)
• variable or constant coefficient (1 point)
• ordinary or partial (1 point)
and also identify the dependent variable and list the independent variables.
Bill Goodwine, 376 Fitzpatrick
drail

### problem 5i: e?

On problem 5i, e = exp(1), correct? If not, what is e (a new variable?)?

Thanks,
David
goodwine
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### Re: problem 5i: e?

drail wrote:On problem 5i, e = exp(1), correct? If not, what is e (a new variable?)?
e equals approximately 2.71828183, so it is a constant, not a new variable.
Bill Goodwine, 376 Fitzpatrick
goodwine
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Joined: Tue Aug 24, 2004 4:54 pm
Location: 376 Fitzpatrick
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Do you know of any good, freely available software for plotting and printing direction fields for differential equations such as those found in problem 1 of homework 1? Is it possible to generate direction fields in MATLAB? The extent of my programming experience is limited to that learned last year in the introduction to engineering courses. Thank you for your help.
Unless stated otherwise, hand plots are always fine for this course as long as they are clear and accurate.

Specifically w.r.t. your question, both matlab and mathematica have the capability to plot vector fields like this.
Bill Goodwine, 376 Fitzpatrick
goodwine