It is well established that the cubic Duffing equation exhibits each of the Jacobi elliptic functions as solution. However, in this paper it is shown for the first time that the general solutions of such an equation may be computed as a trigonometric function and also as a hyperbolic function in a direct and straightforward manner by first integral and Lagrangian analysis following the sign of parameters.
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[v1] 2019-10-25 10:41:20
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