Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Rational Solutions of Riccati Differential Equation with Coefficients Rational

Author(s):

Nadhem ECHI

Universite de Tunis
El Manar, B.P. 37,
1002-TUNIS Belvedere,
Tunisie

nadhemechi_fsg@yahoo.fr

Abstract:

This paper presents a simple and efficient method for determining the solution of Riccati differential equation with coefficients rational. In case the differential Galois group of the differential equation is reducible, we look for the rational solutions of Riccati differential equation by reducing the number of check to be made and by accelerating the search for the partial fraction decomposition of the solution. This partial fraction decomposition of solution can be used to code r. The examples demonstrate the effectiveness of the method.

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