# Book 3 Resources

In the navigation panel you can download a zip file containing all the Book 3 resources, or you can click on the links below to download them individually. (On some browsers you may need to right-click and choose 'save link as ...' ).

• Differential Equations in Maple. This Maple worksheet shows how to solve differential equations and initial value problems analytically. It also shows how to make direction fields like the one shown here:

• • Euler’s method and the Runge-Kutta method. This Excel spreadsheet shows how to solve differential equations numerically. The first sheet uses Euler's method. The rest use the Runge-Kutta method. There are various approaches: a single DE, multiple DEs, using just the spreadsheet and utilizing Visual Basic code. Relates to Section 2.2 of the book.

• • Laplace Transforms. This Maple worksheet shows how to do Laplace transforms and inverse Laplace transforms. Relates to Chapter 3.

• • Discrete Functions. Shows how to use Excel to generate discrete functions using recursion relations and how to plot them. Relates to Chapter 4.

• • z-Poles. This Excel spreadsheet shows how poles inside/outside the unit circle in the z domain correspond to stable/unstable discrete functions in the time domain. Refers to Figs. 5.3 to 5.8 of the text.

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