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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Resumo
TORRES DEL CASTILLO, Gerardo e MARCIANO MELCHOR, Magdalena. Symmetries and integration of differential equations. Rev.colomb.mat. [online]. 2005, vol.39, n.2, pp.133-143. ISSN 0034-7426.
A proof of the Lie theorem which relates the symmetries of a first order differential equation (or of a linear differential form) with its integrating factors is given. It is shown that a similar result partially applies for systems of linear differential forms and ordinary differential equations of any order.
Palavras-chave : Ordinary differential equations; symmetries.