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For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
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Variations wrt. Time Derivatives
I've been working on my dynamics homework when I've run into confusion with derivatives and could use some help regarding that. The question is as follows:
When varying a functional with respect to a …