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CONSTRUCTION OF A GENERAL SOLUTION OF A DIFFERENTIAL EQUATION WITH GIVEN SYMMETRIES
Journal: Synergy of Science (Vol.17, No. 1)Publication Date: 2017-11-30
Authors : Akimov A.A. Agafonova A.A.;
Page : 0-0
Keywords : Group analysis; invariants of groups; infinitesimal operator; integrating factor;
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Abstract
The application of group analysis for the solution of nonlinear ordinary equations is considered 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.
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Last modified: 2017-11-03 23:22:51