Closed-form solution to the nonlinear pendulum equation

15 · John Cook · April 25, 2026, 4:33 p.m.
Math Differential equations Special functions mathematics Physics Pendulum Dynamics Nonlinear Equations
Summary
This blog post discusses the nonlinear pendulum equation's solutions, particularly focusing on how linearizing the equation impacts accuracy depending on the initial displacement. It is intended for an audience interested in mathematical approaches to physics.
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