We consider quadratic differential equations on the complex plane C^2 and the singular holomorphic foliation they induce on CP^2. Generically such fliations have an invariant line at infinity carrying three singular points. In this talk we will discuss the following result: Two such generic foliations are topologically equivalent if and only if they are affine equivalent. This result strengthens, in the case of quadratic foliations, a well known theorem by Ilyashenko and other authors that claims that topological equivalence of generic polynomial foliations implies their affine equivalence, provided that the two foliations are close enough in the space of foliations and that the linking homeomorphism is close enough to the identity map on CP^2