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A new use of nonlocal symmetries for computing Liouvillian first integrals of rational second order ordinary differential equations
Here we present an efficient method for finding and using a nonlocal symmetry admitted by a rational second order ordinary differential equation (rational 2ODE) in order to find a Liouvillian first integral (belonging to a vast class of Liouvillian functions). In a first stage, we construct an algor
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