A second-order DE of the form x + F(x) = 0 is called a conservative differential equation.

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A second-order DE of the form x + F(x) = 0 is called a conservative differential equation. (See Sec. 4.7.) Find the equilibrium points of the conservative equation i + x - x2 - 2x3 = 0 and determine their type and stability.
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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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