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Nonlinear Systems: The following nonlinear system is a model for the electric field between two point charges. Determine the equilibrium solutions, if any, and classify their stability. Then sketch the phase portrait by sketching h- and v-nullclines, drawing appropriate arrows between nullclines to determine direction of solution curves. x' = 2xy y' = y^2 - x^2 - 1

Nonlinear Systems: The following nonlinear system is a model for the electric field between two point charges. Determine the equilibrium solutions, if any, and classify their stability. Then sketch the phase portrait by sketching h- and v-nullclines, drawing appropriate arrows between nullclines to determine direction of solution curves. x' = 2xy y' = y^2 - x^2 - 1

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Nonlinear Systems: The following nonlinear system is a model for the electric field between two point charges. Determine the equilibrium solutions, if any, and classify their stability. Then sketch the phase portrait by sketching h- and v-nullclines, drawing appropriate arrows between nullclines to determine direction of solution curves. x' = 2xy y' = y^2 - x^2 - 1

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