The Lagrangian of a given system is not unique, but solving any equivalent Lagrangians will give the same equations of motion.
Solving any equivalent Lagrangians will give the same equations of motion. The Lagrangian of a given system however is not unique.
The Lagrangian of a given system however is not unique. Solving any equivalent Lagrangians will give the same equations of motion.
The Lagrangian of a given system however is not unique. Solving any equivalent Lagrangians will give the same equations of motion.