Analytic solution to the pendulum equation for a given initial conditions

In kenya tree coral for sale this paper we give the analytical solution for the undamped pendulum equation for a given arbitrary initial conditions.This solution is expressed in terms of the Jacobian elliptic functions.Approximated trigonometric solution is also provided.Three practical formulas for the period iphone 14 price arizona of oscillations are given.The results are illustrated with examples.

Keywords: Undamped pendulum, Duffing equation, Period of oscillations, Jacobian elliptic functions.

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