%0 Journal Article
%T Classification the integral curves of a second degree homogeneous ODE
%A Mehdi Nadjafikhah
%A Mohsen Mirafzal
%J Mathematical Sciences Quarterly Journal
%D 2010
%I Springer
%X 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.
%K Qualitative theory of ODEs
%K Bendixson formula
%K index of Poincaret.
%U http://mathscience.kiau.ac.ir/Content/Vol4No4/2.pdf