This paper provides a complete classification of the positive radially symmetric solutions for generalized Emden equations of the type \[ \Delta u+r^{-2-\rho} h(r^{\rho} u)=0, \] where \(h(s)>0\) for \(s>0\) and \(h(0)=0\). The essential feature of these equations is that they can be transformed into autonomous equations. By means of a phase plane analysis existence and uniqueness for different types of solutions is discussed. We need less regularity assumptions than what is usually required for such considerations.