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