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This paper is a sequel of the reference \cite[\S 4.2, p.p. 1782--1783]{almp},in where some families of quadratic polynomial vector fields related withorthogonal polynomials were studied. We extend such results that contain somedetails related with differential Galois Theory as well the inclusion ofDarboux theory of integrability and qualitative theory of dynamical systems.

Algebraic and qualitative aspects of quadratic vector fields related with classical orthogonal polynomials