Classical planar algebraic curves realizable by quadratic polynomial differential systems

In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is partially supported by a MINECO grant number MTM2014-53703-P and an AGAUR grant number 2014SGR1204. †The author is partially supported by a FEDER-MINECO grant MTM2016-77278-P, a MINECO grant MTM2013-40998-P, and an AGAUR grant number 2014SGR-56