Easy# 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.)