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Differential Equations

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Nonlinear Systems: Critical Points

DIFFEQ-ARRBNK

Consider the following first order autonomous nonlinear system
$$ \left\{ \begin{array}{c} \cfrac{dx}{dt}=x^2-y,\\\ \cfrac{dy}{dt}=x-y+x^2. \end{array}\right. $$
There is one critical point for this nonlinear system. Please find it. (Write the answer as $(a,b)$ with no spaces.)