Abstract

TORRES DEL CASTILLO, Gerardo  and  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.

Keywords : Ordinary differential equations; symmetries.

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