LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS

Abstract

In this paper, a system of first order ordinary differential equations is expressed in the form of first order Lagrange equations.The determining equations of L ie symmetries are established by the invariance of the ordinary differential equ ations under the infinitesimal transformations. The condition under which a Lie symmetry can lead to a conserved quantity is obtained and the form of the conser ved quantities is given.