Geodesic
On some properties of first order algebraic differential equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 893-901

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The paper deals with first-order algebraic differential equations. Installed effective necessary conditions under which such equations have one of the solutions of an entire function finite order. It is also proved that in this case every solution of such an equation is a solution of some linear homogeneous differential equation of a special type.
Keywords: algebraic differential equation, entire function, linear homogeneous differential equation. 
@article{SEMR_2019_16_a91,
     author = {A. Y. Yanchenko and V. A. Podkopaeva},
     title = {On some properties of first order algebraic differential equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {893--901},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a91/}
}
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A. Y. Yanchenko; V. A. Podkopaeva. On some properties of first order algebraic differential equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 893-901. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a91/