Consider the model of an undamped nonlinear spring/mass system given by x' + 8x - 6x3 +

Chapter 3, Problem 8

(choose chapter or problem)

Consider the model of an undamped nonlinear spring/mass system given by x' + 8x - 6x3 + x5 = 0. Use a numerical solver to discuss the nature of the oscillations of the system corresponding to the initial conditions: x(O) = 1, x'(O) = 1; x(O) = -2, x'(O) = !; x(O) = V2, x'(O) = 1; x(O) = 2, x'(O) = !; x(O) = 2, x'(O) = O; x(O) = -V2, x1(0) = -1

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