CONSTRUCTION OF DIFFERENTIAL EQUATIONS OF ALLOWABLE GROUPS OF TRANSFORMATIONS
Abstract and keywords
Abstract (English):
The application of group analysis for the solution of nonlinear ordinary equations isconsidered in the article. Group analysis is the only universal and effective method for the analytical solution of nonlinear differential equations. In this paper, in two particular cases, a general form of differential equations admitting groups of transformations given by the operator is found, and certain particular cases of these equations are solved.

Keywords:
Group analysis, invariants of groups, infinitesimal operator, integrating factor
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