Symbolic solutions of algebraic ODEs: a comparison of methods

DOI10.5486/PMD.2022.9100zbMath1499.34004OpenAlexW4210493013MaRDI QIDQ5036009

Johann J. Mitteramskogler, Franz Winkler

Publication date: 22 February 2022

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2022.9100

zbMATH Keywords

ordinary differential equationalgebraic curvealgebraic surfacerational parametrizationrational general solution

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Rational and ruled surfaces (14J26) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Plane and space curves (14H50) Explicit solutions, first integrals of ordinary differential equations (34A05) Rational and birational maps (14E05)

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The algebro-geometric method: Solving algebraic differential equations by parametrizations

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