Answer: In 18, show that the given plane autonomous system (or second-order differential
Chapter 11, Problem 8(choose chapter or problem)
In Problems 1-8, show that the given plane autonomous system (or second-order differential equation) has no periodic solutions.
\(x^{\prime \prime}+x=\left[\frac{1}{2}+3\left(x^{\prime}\right)^{2}\right] x^{\prime}-x^{2}\)
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