The Wikipedia article regarding Lagrangian Mechanics mentions that we can essentially derive a new set of equations of motion, thought albeit non-linear ODEs, using Lagrangian Mechanics.(adsbygoogle = window.adsbygoogle || []).push({});

My question is: how difficult is it usually to solve these non-linear ODEs? What are the usual numerical methods? Things like Velocity Verlet seem to really only apply to the system of linear ODEs.

(eg. http://en.wikipedia.org/wiki/Lagrangian_mechanics#Pendulum_on_a_movable_support the non-linear ODEs given here)

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# Lagrangian Mechanics and Differential Equations

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