2014/09/16 by Airton von Sohsten de Medeiros, de Medeiros, Airton von Sohsten, Ráderson Rodrigues da Silva +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #FOS: Mathematics #General Mathematics (math.GM) #Nonlinear Waves and Solitons #math.GM
paper · pdf · doi:10.48550/arxiv.1409.7059
12 pages
arxiv created 2014/09/16 · openalex publication_date 2014/09/16 · arxiv updated 2014/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show essentially that the differential equation (∂ (P,Q))/(∂ (x,y)) =c ∈ \mathbb C, for P, Q ∈ \mathbb C[x,y], may be "integrated", in the sense that it is equivalent to an algebraic system of equations involving the homogeneous components of P and Q. Furthermore, the first equations in this system give explicitly the homogeneous components of Q in terms of those of P. The remaining equations involve only the homogeneous components of P.