Rational general solutions of parametrizable AODEs

DOI10.5486/PMD.2011.5121zbMath1249.34006OpenAlexW2046919642MaRDI QIDQ2898860

Franz Winkler, Lâm Xuân Châu Ngô

Publication date: 12 July 2012

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

Full work available at URL: https://doi.org/10.5486/pmd.2011.5121

zbMATH Keywords

ordinary differential equationalgebraic curvealgebraic surfacebirational maprational general solution

Mathematics Subject Classification ID

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

Related Items (8)

The algebro-geometric method: Solving algebraic differential equations by parametrizations ⋮ Rational general solutions of systems of first-order algebraic partial differential equations ⋮ Deciding the existence of rational general solutions for first-order algebraic ODEs ⋮ Rational solutions of high-order algebraic ordinary differential equations ⋮ The algebro-geometric method for solving algebraic differential equations -- a survey ⋮ Transforming ODEs and PDEs from radical coefficients to rational coefficients ⋮ A solution method for autonomous first-order algebraic partial differential equations ⋮ Symbolic Solutions of First-Order Algebraic ODEs

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