On integrability of homogeneous rational equations
Vol 10 No 2 (2020), Статьи
Vol 10 No 2 (2020)

On integrability of homogeneous rational equations

Статьи
https://doi.org/10.36120/2587-3644.v10i2.54-67
Published January 12, 2021
Dumitru Cozma
Angela Matei
pdf (Русский)

Keywords

homogeneous differential equations, algebraic solutions, integra- bility.

How to Cite

Cozma, D., & Matei, A. (2021). On integrability of homogeneous rational equations. Acta Et Commentationes Exact and Natural Sciences, 10(2), 54-67. https://doi.org/10.36120/2587-3644.v10i2.54-67
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Abstract

We study the integrability of homogeneous rational linear and homo-geneous rational quadratic differential equations. We prove that these equations can be integrated by using their algebraic solutions which are invariant straight lines.

https://doi.org/10.36120/2587-3644.v10i2.54-67
pdf (Русский)
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