Geodesic
On the First Integrals of the Generalized Abel Equation of the Second Kind of Special Form
The Bulletin of Irkutsk State University. Series Mathematics, Tome 7 (2014), pp. 124-132

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The study of various mathematical models described by nonlinear systems of differential equations, in many cases by special transformations reduces to the study of some nonlinear ordinary differential equations. In this article, the subject of such reduction and research is Abel equation of the second kind. Under certain assumptions on the coefficients of the equation construct the general solution of the generalized Abel equation of the second kind of special form.
Keywords: Abel equation of the second kind, the first integral. 
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     author = {E. Semenov},
     title = {On the {First} {Integrals} of the {Generalized} {Abel} {Equation} of the {Second} {Kind} of {Special} {Form}},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {124--132},
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E. Semenov. On the First Integrals of the Generalized Abel Equation of the Second Kind of Special Form. The Bulletin of Irkutsk State University. Series Mathematics, Tome 7 (2014), pp. 124-132. http://geodesic.mathdoc.fr/item/IIGUM_2014_7_a9/