[QUE/CM-02015]

Point transformation
If a change of coordinates is made from~$q_k\rightarrow Q_k(q),$the EOM written in terms of $Q$ can be obtained from a Lagrangian $L'$ which is obtained from the Lagrangian $L({q_k},{\dot{q_k}}, t)$ by expressing \(q's,\) and \(\dot{q}'s\) in terms of $Q_k,\dot{Q_k}$ and $t$. Prove that the EOM following from \(L^{'}\) are equivalent to those obtained from \(L\).