Calculus of Variations: Euler Equation for the Geodesic

As derived in the notes, the condition for a curve to minimize an integral is given by the variational derivative, setting the variational derivative equal to zero produces the Euler equation

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Calling VariationalD from the package "VariationalMethods"

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Setting the variational derivative to zero is the Euler equation

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The Euler equation is an ODE; this one has a closed-form solution.

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