+The **Euler-Lagrange equation** is a profound differential equation, central to finding paths or functions that extremize a given functional. It forms the bedrock of [Classical Mechanics](/wiki/classical_mechanics), deriving equations of motion from the principle of least action. Born from the [Calculus of Variations](/wiki/calculus_of_variations), it illuminates the elegant trajectories systems choose.
+## See also
+- [Lagrangian Mechanics](/wiki/lagrangian_mechanics)
+- [Hamiltonian Mechanics](/wiki/hamiltonian_mechanics)
+- [Action Principle](/wiki/action_principle)
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