On the Liouvillian solution of second-order linear differential equations and algebraic invariant curves

DOI10.1088/1751-8113/43/41/412001zbMath1211.34004OpenAlexW2023644136MaRDI QIDQ3053180

Yiu-Kwong Man

Publication date: 4 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/41/412001

zbMATH Keywords

Liouvillian solutionPrelle-Singer algorithmalgebraic invariant curvesKovacic theorem

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

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