Symbolic Solutions of First-Order Algebraic ODEs

DOI10.1007/978-3-319-15081-9_5zbMath1434.34019OpenAlexW196899843MaRDI QIDQ2808007

Georg Grasegger, Franz Winkler

Publication date: 25 May 2016

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-15081-9_5

zbMATH Keywords

ordinary differential equationsalgebraic surfacesalgebraic curvesgeneral solutionsrational parametrizationsradical parametrizations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Computational aspects of algebraic curves (14Q05) Abstract differential equations (12H20)

Related Items (5)

The algebro-geometric method: Solving algebraic differential equations by parametrizations ⋮ Computation of all rational solutions of first-order algebraic ODEs ⋮ Rational general solutions of systems of first-order algebraic partial differential equations ⋮ The algebro-geometric method for solving algebraic differential equations -- a survey ⋮ A solution method for autonomous first-order algebraic partial differential equations

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