= Inverse problem for Lagrangian mechanics
{wiki=Inverse_problem_for_Lagrangian_mechanics}
The inverse problem for Lagrangian mechanics typically refers to the task of determining the Lagrangian function \\( L \\) that corresponds to a given set of equations of motion (often expressed as a system of second-order differential equations). This contrasts with the direct problem in Lagrangian mechanics, where the Lagrangian is known and the equations of motion are derived from it using the Euler-Lagrange equations.
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