Abstract

In this paper Euler Lagrange equation is studied to obtain the equations of motion of the regular systems with higher order Lagrangian. The solutions of the equations of motion help us to obtain the action integral by substituting the solutions in the given Lagrangian. Then, action integral is typically represented as an integral of the Lagrangian over time, taken along the path of the system between the initial time and the final time of the system. The regular systems with higher order Lagrangian are examined using illustrative example.

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