%0 Journal Article
%T Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems
%A Belen Garcia
%A Hector Giacomini
%A Jesus Perez del Rio
%J Mathematics
%D 2009
%I arXiv
%X We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polynomial change of variables.
%U http://arxiv.org/abs/0906.3212v1