First order rational differential equations depending transcendentally on arbitrary constants

DOI10.3792/pjaa.65.276zbMath0704.12006OpenAlexW1987236302MaRDI QIDQ916721

Toshiki Iwatsuru, Keiji Nishioka

Publication date: 1989

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.65.276

zbMATH Keywords

general solutiondifferential fieldfirst order differential equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential algebra (12H05)

Cites Work

• First order algebraic differential equations. A differential algebraic approach
• The nonminimality of the differential closure
• General solutions depending algebraically on arbitrary constants

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