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ISSAC
2004
Springer

Rational general solutions of algebraic ordinary differential equations

14 years 5 months ago
Rational general solutions of algebraic ordinary differential equations
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a rational general solution if it exists. The algorithm is based on the relation between rational solutions of the first order ODE and rational parametrizations of the plane algebraic curve defined by the first order ODE and Pad´e approximants. Categories and Subject Descriptors
Ruyong Feng, Xiao-Shan Gao
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where ISSAC
Authors Ruyong Feng, Xiao-Shan Gao
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