Find and classify (if possible) the critical points of the plane autonomous system x x

Chapter 11, Problem 14

(choose chapter or problem)

Find and classify (if possible) the critical points of the plane autonomous system

\(\begin{aligned}

&x^{\prime}=x+x y-3 x^{2} \\

&y^{\prime}=4 y-2 x y-y^{2}

\end{aligned}\)

Does this system have any periodic solutions in the first quadrant?

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