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Computing the Galois group of some parameterized linear differential equation of order two
Published 5 Oct 2011 in math.CA | (1110.1053v5)
Abstract: We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the integrability of the system. We give various examples of computation.
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