TY - JOUR AU - Aroca Hernández-Ros, José Manuel AU - Cano Torres, José María AU - Feng, Ruyong AU - Gao, X.S. PY - 2005 UR - https://uvadoc.uva.es/handle/10324/66093 AB - In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For a first; order autonomous ODE, we give an optimal bound for the degree of its algebraic general solutions and a polynomial-time... LA - spa PB - Association for Computing Machinery (ACM) KW - Matemáticas KW - Algebra; Algorithms; Computation theory; Polynomials; Algebraic curve; Algebraic differential equation; Algebraic general solution; First order autonomous ODE; Hermite-Padé approximants; Ordinary differential equations TI - Algebraic general solutions of algebraic ordinary differential equations DO - 10.1145/1073884.1073891 ER -