2 papers
cs.MS2021
Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs -- A MAPLE Package
Francois Boulier, Jose Cano, Sebastian Falkensteiner +1
There exist several methods for computing exact solutions of algebraic differential equations. Most of the methods, however, do not ensure existence and uniqueness of the solutions…
math.AG2019
Existence and convergence of Puiseux series solutions for autonomous first order differential equations
Jose Cano, Sebastian Falkensteiner, J. Rafael Sendra
Given an autonomous first order algebraic ordinary differential equation F(y,y')=0, we prove that every formal Puiseux series solution, expanded around any finite point or at infin…