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Painlevé Classification of Binomial Type Ordinary Differential Equations of the Arbitrary Order

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The complete Painlevé classification of the binomial ordinary differential equations of the arbitrary order n≥ 4 is built. Six classes of equations with Painlevé property are obtained. All of these equations are solved in terms of elementary functions and known Painlevé transcendents.
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Document Type: Research Article

Affiliations: Belorussian State University

Publication date: October 1, 2006

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