I have a simple question regarding nullclines, as I'm having trouble determining the correct direction errors.
For example, here's a system of equations:
dx/dt = 2xy
dy/dt=yx^2
xnull is y= x + 2
ynull is y= x^2
xnull is vertical, ynull goes horizontal.
But when I divide the graph in different sections, and pick different plot points which equations do I plug into to find directions?
I know that wasn't clear, but for example:
If I want to know if on the ynull if the direction of a certain section is pointing left or right, would I plug the points I chose in:
A) dy/dt = yX^2
B) dx/dt=2xy
or C) y=x^2
I'm not sure which equation to plug it in. I've tried to think it out, but I end up always confusing myself. Please point me in the right direction. Thanks.
