MA 231: Three Parameter Families Lab
Three Parameter Families of Differential Equations
This lab is due Thursday, October 30, in class.
In this lab you will investigate several three parameter families of differential equations. In each case you are to provide an understadable picture of the parameter space (the analogue of the trace-determinant plane).
Remark: You do not need to use technology for this lab, though you are free to do so if you wish.
Then repeat this procedure for the following system:
Although this is a three-dimensional system, you do not need any special knowledge to solve it. That is, this system can be (easily) solved using methods already developed for two-dimensional systems. In this case, you should provide some representative three-dimensional phase portraits (the x,y,z-plane for the various situations that arise as well as the pictures in parameter space.