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    Stability properties of zero solution to a nonlinear system of differential equations.

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    Use the function V(x,y) = x^2 + y^2 to analyze the stability properties of the zero solution of the nonlinear system

    x' = x + 2xy^2

    y' = - 2x^2y + y

    More specifically, what stability conclution(s) can be drawn? ( Justify your answer)

    Please I want a detailed and clear solution. Thanks.

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    https://brainmass.com/math/calculus-and-analysis/stability-properties-zero-solution-nonlinear-system-59722

    Solution Summary

    The stability properties of zero solution to a nonlinear system of differential equations are investigated.

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