Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals

In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.

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Bibliographic Details
Main Author: Bilal Ghermoul
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2024/5141636
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