Lie Symmetries to Ordinary Differential Equations (ODEs)

Abstract

AbstractIn this paper, we have provided some examples motivating the use of Liesymmehies. Also, we have discussed the properties of one- parameter groups oftransformations (Lie groups) and introduced the ideas of invariants of the group oft t"*forro"tio*.In the case of ordinary differential equations use of Lie qmmetriesresulted in a separable ODE when the goveming DE was first order and a reduction oforder when the goveming DE was of order greater tlan one.