The model mx'' + kx + k 1 x 3 = F 0 cos t of an

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The model mx'' + kx + k₁x³ = F₀cos ωt 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.

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The numerical solver shows that the behavior of the system ...View the full answer

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