On the computation of Darboux first integrals of a class of planar polynomial vector fields

A. Ferragut, C. Galindo, F. Monserrat

We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ${\prod }_{i=1}^r{f}_i^{{\alpha }_i}$, where the ${\alpha }_i$'s are positive real numbers and the $…