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- W1492147319 abstract "The idea to find first integrals for polynomial vector fields via algebraic invariant curves can be traced back to Darboux in the 19th century. In 1983, this approach was further developed by Prelle and Singer to become a semi-decision algorithm for finding elementary first integrals. In this paper, we describe how to extend the Prelle-Singer method to deal with second order linear differential equations via Kovacic's results on algebraic solutions of Riccati equations. Some illustrative examples on using this approach are provided." @default.
- W1492147319 created "2016-06-24" @default.
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- W1492147319 date "2009-01-01" @default.
- W1492147319 modified "2023-09-26" @default.
- W1492147319 title "Solving Second Order Linear Differential Equations via Algebraic Invariant Curves" @default.
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