Solution
= Solution
For a <Lagrangian> $L(q_i,\dot q_i,t)$ expressed in independent <generalized coordinates>, stationary <action> gives the <Euler-Lagrange equations>
$$
\boxed{\frac d{dt}\frac{\partial L}{\partial\dot q_i}-\frac{\partial L}{\partial q_i}=0.}
$$
Ideal constraints can either be incorporated into the independent coordinates or treated using <Lagrange multipliers>, as in <9/c/solution>.