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most citedThe Chronological Operator Algebra and Formal Solutions of Differential Equations

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Finding Liouvillian first integrals of rational ODEs of any order in finite terms

Yuri N. Kosovtsov

It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrat…