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Classification the integral curves of a second degree homogeneous ODEKeywords: Qualitative theory of ODEs , Bendixson formula , index of Poincaret. Abstract: This paper classifies the integral curves of the $y'=(ax^2+bxy+cy^2)/(dx^2+exy+fy^2)$. A new approach has been given, instead of which, that has been described by J.Argemi, L.Lyagin, K.S.Sibirsky et al.
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