Abstract
In this communication, we present a method for computing the Liouvillian solution of second-order linear differential equations via algebraic invariant curves. The main idea is to integrate Kovacic's results on second-order linear differential equations with the Prelle–Singer method for computing first integrals of differential equations. Some examples on using this approach are provided. Copyright © 2010 IOP Publishing Ltd.
| Original language | English |
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| Pages (from-to) | 1-6 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 43 |
| Issue number | 41 |
| DOIs | |
| Publication status | Published - Oct 2010 |