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In this paper, the symmetry group of a differential system of n quadratic homogeneous ordinary differential equations of n variables is studied. For this purpose, we consider the action of both point and contact transformations to signify the corresponding Lie algebras. We also find the independent differential invariants of these actions.doi:10.6084/m9.figshare.8245988 fatcat:dac2qhjjaja3vjg4fotday7r4y