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A minimal system of generators of the algebra of the centro-affine covariantsfor homogeneous planar cubic differential systems with linear part is known.With the help of the Gurevich theorem avoiding the Aronhold's identities basedon the calculation of determinants, we describe the algebra of the centro-affnecovariants for homogeneous planar cubic differential systems with free terms.

Minimal System of Generators and Syzygies of Centro-Affine Invariants  and Covariants for Homogeneous Planar Cubic Differential Systems with Free  Terms and Linear Part