We present a semi-decision procedure to tackle first order differential equations, with Liouvillian functions in the solution (LFOODEs). As in the case of the Prelle-Singer procedure, this method is based on the knowledge of the integrating factor structure.
@article{arxiv.math-ph/0111010,
title = {A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution - II},
author = {L. G. S. Duarte and S. E. S. Duarte and L. A. C. P. da Mota},
journal= {arXiv preprint arXiv:math-ph/0111010},
year = {2008}
}