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math.AG2021
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
Jose Cano, Sebastian Falkensteiner, Daniel Robertz +1
In this paper we study systems of autonomous algebraic ODEs in several differential indeterminates. We develop a notion of algebraic dimension of such systems by considering them a…
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…