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template-SYS.mws

This worksheet is designed to give you a template for many of the things you will be doing with a system of differential equations (as discussed in Chapter 2 of BDH). Delete uneccessary lines, and don't forget to execute the worksheet from the top once you have entered all the desired changes. You may find it useful to keep a completed Maple worksheet open in another window as a guide ("tile" the windows so you can see both at once). In fact you can even copy and paste from one window to another if you wish.

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Getting started

Defining the model

Nullclines

Equilibrium Solutions

Direction Field, Phase Portrait, and Solution Curves ( DEplot )

Numerical Solutions ( dsolve,numeric )

Analytic Solution for Linear Homogeneous Systems (Eigenvalue Analysis)

Analytic Solutions ( dsolve )