In 9 and 10, use the Dulac negative criterion to show that the given plane autonomous
Chapter 11, Problem 10(choose chapter or problem)
In Problems 9 and 10, use the Dulac negative criterion to show that the given plane autonomous system has no periodic solutions. Experiment with simple functions of the form \(\delta(x, y)=a x^{2}+b y^{2}\), \(e^{a x+b y}\), or \(x^{a} y^{b}\).
\(x^{\prime}=-x^{3}+4 x y\)
\(y^{\prime}=-5 x^{2}-y^{2}\)
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