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    System of Differential Equations : Find Equilibrium Points and Linearize

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    Consider the attached system of differential equations.
    x' = xy + x
    y' = xy + y^2

    a. Find the equilibrium points associated with this system.
    b. Linearize the system about each of the equlibrium points you find in part a.

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    Solution Preview

    The system of equations is

    a) To find the equilibrium points, we set

    From the first ...

    Solution Summary

    The equilibrium points of a system of differential equations are found and the system linearized about those points. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.