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Home / Studies in Applied Mathematics, Volume 114, Number 1

Binomial-Type Ordinary Differential Equations of the Third Order

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Author: Sobolevsky, S.

Source: Studies in Applied Mathematics, Volume 114, Number 1, January 2005, pp. 1-15(15)

Publisher: Wiley-Blackwell

DOI: https://doi.org/10.1111/j.0022-2526.2005.01533.x

The complete Painlevé classification of the binomial ordinary differential equations of the third order is built. Eight 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: January 1, 2005

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