Geodesic
An integrating factor of the Darboux differential systems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1260-1275

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We construct the integrating factor of the differential systems of the form $\dot x= x+P_n(x,y), \ \dot y=y+Q_n(x,y)$ where $P_n(x,y)$ and $Q_n(x,y)$ are homogeneous polynomials.
Keywords: polynomial systems, integrating factor, polynomial first integrals, rational first integrals, symmetries. 
@article{SEMR_2019_16_a97,
     author = {E. P. Volokitin and V. M. Cheresiz},
     title = {An integrating factor of the {Darboux} differential systems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1260--1275},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a97/}
}
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E. P. Volokitin; V. M. Cheresiz. An integrating factor of the Darboux differential systems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1260-1275. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a97/