An undamped, unforced Duffing Equation, (ddot{x}+omega^{2} x+epsilon x^{3}=0), can be solved exactly in terms of elliptic functions.

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An undamped, unforced Duffing Equation, \(\ddot{x}+\omega^{2} x+\epsilon x^{3}=0\), can be solved exactly in terms of elliptic functions. Determine the solution of this equation and determine if there are any restrictions on the parameters.

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