Chapter 7: Differential Equations

Class Notes

• 7.1 Modeling with Differential Equations (pdf)
• 7.2 Direction Fields and Euler's Method (pdf)
• 7.3 Separable Equations (pdf)
• 7.4 Exponential Growth and Decay (pdf)
• 7.5 The Logistic Equation (pdf)
• 7.6 Predator-Prey Systems (pdf)

Homework

• 7.1 -- 1, 2, 5, 6, 7, 8, 9, 11, 14
• 7.2 -- 1, 2, 4, 5, 7, 12, 14, 18, 19, 20, 24, 25, 27, 28
• 7.3 -- 1, 6, 13, 18, 21, 22, 23, 28, 29, 34, 35, 39, 41
• 7.4 -- 1, 4, 6, 8, 11, 12, 13, 16, 17, 20
• 7.5 -- 1, 3, 5, 6, 11, 12, 13, 14, 15
• 7.6 -- 1, 2, 4, 6, 8, 9

Mathematica Notebooks

The following Mathematica notebooks are available in two formats. Download the Mathematica notebooks (nb) to your machine and use Mathematica to interpret their contents, or click on the web page link (html) to see a static image of the evaluated notebook.

• 7.1 Modeling with Differential Equations nb html
• 7.2 Slope Fields nb html
• 7.2 Euler's Method nb html
• 7.3 Separable Equations nb html
• 7.4 Population Growth nb html
• 7.4 Modeling nb html
• 7.6 Systems of DE's nb html
• 7.6 Phase Planes nb html