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




Calling VariationalD from the package "VariationalMethods"



Setting the variational derivative to zero is the Euler equation



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





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