The model mx kx k1x3 F0cos vt of an undamped periodically driven spring/mass system is

Chapter 5, Problem 11

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The model mx kx k1x3 F0cos vt of an undamped periodically driven spring/mass system is called Duffing s differential equation. Consider the initial-value problem x x k1x3 5 cos t, x(0) 1, x(0) 0. Use a numerical solver to investigate the behavior of the system for values of k1 0 ranging from k1 0.01 to k1 100. State your conclusions. 12. (a) F

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