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Consider the model of an undamped nonlinear spring/mass system given by x'' + 8x 6x3 + x5 = 0. Use a numerical solver to discuss
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(0) = 1, x'(0) = 1 The oscillations are symmetric about the line x = 0 with amplitude slightly greater than 1. x(0) = 2, x'(0) = 1/2 The oscillations are symmetric about the line x = 2 with small amplitude. x(0) = 2, x'(0) = 1 The oscillations are symmetric about the line x = 0 with amplitude slightly greater than 2. x(0) = 2, x'(0) = 1/2 The oscillations are symmetric about the line x = 2 with small amplitude. x(0) = 2, x'(0) = 0 There is no oscillation; the solution is constant at x = 2. x(0) = -2, x'(0) = -1 The oscillations are symmetric about the line x = 0 with amplitude slightly greater than 2
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