On the planar integrable differential systems
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Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. We improve these results for polynomial differential systems defined in R2 or C2.
Is part ofZAMP. Journal of Applied Mathematics and Physics, 2011, vol. 62, núm. 4, p. 567-574
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