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INTEGRABILITY VIA INVARIANT ALGEBRAIC CURVES FOR PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS

Colin Christopher (School of Mathematics and Statistics, University of Plymouth, Plymouth, Devon PL4 SAA, UNITED KINGDOM) Jaume Llibre (Dopartament de Matematiques, Universitat Autonoma de Barcelona, 08193-Bellaterra, Barcelona, SPAIN)  
We present an introduction to the Darboux integrability theory of planar complex and real polynomial differential systems containing some improvements to the classical theory.
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