Show that each system has an equilibrium point at the origin. Compute the Jacobian, then discuss the

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Show that each system has an equilibrium point at the origin. Compute the Jacobian, then discuss the type and stability of the equilibrium point. Find and describe other equilibria if they exist.
x' = - 2x + 3y + xy
y' = -x +y-2xy2
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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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