Infinitesimal symmetries for implicit planar webs

In the complex setting, let $F(x,y,y^{\mathrm{\prime }})=0$ be an analytic or algebraic differential equation with $y^{\mathrm{\prime }}$-degree $d$. We deal with the qualitative study of such equations through the geometry of the planar $d$-web generated by the generic family of integral curves. Infinitesimal symmetries of these configurations are discussed by using meromorphic connections methods “`a la Cartan-Spencer”.