##
Math 321.001:
Ordinary Differential Equations

**
Special Problem:**
Consider the differential equation

**y' = F**_{A}(y)

where **A** is a parameter that runs from 0 to 5. In the following
animation you will see the graph of **F**_{A} move as **A**
varies. Your problem is to describe the bifurcations that occur as
**A** changes. Also sketch the bifurcation diagram for this family
of differential equations. Click here
to see an animation of the graph of **F**_{A}.

**Note:** the link is to a wmv file that opens in windows media
player.