Okay, I have the following autonomous differential equation:

I found the steady states of the equation of be x*1=2 and x*2=3

When I sub them into , I get and .

Now I was told that the stability theorem states that if , then x* is stable and when , x* is unstable, however, when I create my phase line diagram is shows that x*2 is stable.

Could someone shed some light on this?

Thanks,

JS