Question

If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s Equations...

  1. If L is a Lagrangian for a system of n degrees of freedom satisfying Lagrange’s Equations of motion show by direct substitution that:

L’ = L + dF(q1,q2,…qn,t)/dt                                                                                          also satisfies Lagrange’s equation where F is any arbitrary, but differentiable function of its arguments.

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