Pendulum Without the Small Angle Approximation

In this video, I solve the non-linear dynamics problem of the pendulum without using the small angle approximation. The final result involves elliptic integral functions and beta functions.

Intro: (00:00)
First integral of motion: (00:40)
Consequences: (10:06)
General solution: (13:40)
Time period: (21:00)
Small angle limit: (29:20)

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