In Problems 9 through 12, find each equilibrium solution x(t) x 0 of the given second-order

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In Problems 9 through 12, find each equilibrium solution x(t) Ξ x0 of the given second-order differential equation x" + f(x , x') = 0. Use a computer system or graphing calculator to construct a phase portrait and direction field for the equivalent first-order system x' = y, y' = -f(x , y). Thereby ascertain whether the critical point (x0, 0) looks like a center, a saddle point, or a spiral point of this system.

x" + 4x - x3 = 0.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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