In this paper, we prove that the C1 planar differential systems that are integrable and non-Hamiltonian roughly speaking are C1 equivalent to the linear differential systems. Additionally, we show that these systems have always a Lie symmetry. These results are improved for the class of polynomial differential systems defined in R2 or C2. © 2011 Springer Basel AG.
- Darboux theory of integrability
- Linear differential systems
- Planar integrability
- Polynomial differential systems