  After tersely reviewing the various meanings that can be given to the
property of a system of nonlinear ODEs to be solvable, we identify a special
case of the system of two first-order ODEs with homogeneous quadratic
right-hand sides which is explicitly solvable. It is identified by 2 explicit
algebraic constraints on the 6 a priori arbitrary parameters that characterize
this system. Simple extensions of this model to cases with nonhomogeneous
quadratic right-hand sides are also identified, including isochronous cases.
