Select one of the following systems, find its critical points,
Select one of the following systems, find its critical points, use
the online app https://homepages.bluffton.edu/~nesterd/apps/slopefields.html or some other facility to draw the vector field of the system and classify the critical points as a stable node, a stable node, a stable spiral point, an unstable node, or a saddle point 1.
-dx/dt = 1-2xy dy/dt=2xy-y
I am really struggling with finding the critical points here. I know to set dx/dt and dy/dt equals 0. I know I should solve one of the equations and take that and plug into the other equation for the critical points. Please show every step with explanation, and please write clearly. I don’t need the graph portion. I only need help with finding the critical points. Thank you!
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