Article

    Ufa Mathematical Journal
    Volume 4, Number 4, pp. 135-142

    Two-dimensional algebras of dynamic symmetries of ODEs


    Timoshin M.I.

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    The efficiency of use of dynamic symmetries investigating integrability of differential equations is shown in this work. The generalization of S. Lie's classification of the second-order ordinary differential equations with respect to two-dimensional algebras of point symmetries is constructed. Integrable cases of the second order special type ODEs are indicated. It is noted that a part of the found integrability cases is related to Abel's type equations and apparently represents independent interest.