Abstract
Here we present a semialgorithm to find elementary first integrals of a class of rational second order ordinary differential equations. The method is based on a Darboux-type procedure and it is an attempt to construct an analogous of the method built by Prelle and Singer [“Elementary first integral of differential equations,” Trans. Am. Math. Soc. 279, 215 (1983)] for rational first order ordinary differential equations.
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