For the nonlinear systems in Problems 1, determine the equilibrium solutions, if any, and sketch the h-and

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For the nonlinear systems in Problems 1, determine the equilibrium solutions, if any, and sketch the h-and v-nullclines, drawing appropriate arrows on and between them, to indicate the direction of the solution curves. If the system has equilibrium points, determine if they are stable or unstable. Add some typical solutions and write a description of their behaviors. Identify any limit cycles.
x' = xy
y' = y - x2 + 1
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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