INVARIANTE AND REDUCTION OF THE CLASS y¢ = F(x)yn , (n ¹ 0 ),UNDER STRETCHING GROUPS

Abstract

The aim of this papar, using stretching groups which leaves the form of the class differential equations invariant and reduce to first-order differential equations in the (p,q)-plane. Whenever satisfied the following conditions n=1 the function F(x) = .n=2,3,... the function F(x)=-1,  < 0.with remaind two theorem for the purpose.