Finding critical/equilibrium Points of a nonlinear System

I'm given the following nonlinear equations:

Dx1 = @(x1,x2) (x1-1).*(x1+x2);
Dx2 = @(x1,x2) x2 - x1.^2;

What would be the best method to find the critical/equilibrium points.

Answer 1

[Shubham Rawat]

Hi Anthony,

I assume equilibrium occurs when Dx1 and Dx2 are equal to zero.

Now you may calculate the values of x1 and x2 by using these two equations.

Hope this Helps!