Liouvillian First Integrals of Second Order Polynomial Differential Equations
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We consider polynomial differential systems in the plane with Liouvillian first integrals. It is shown that all such systems have Darbouxian integrating factors, and that the search for such integrals can be reduced to a search for the invariant algebraic curves of the system and their 'degenerate' counterparts.
CitationChristopher, C. (1999). Liouvillian first integrals of second order polynomial differential equations. Electronic Journal of Differential Equations,1999(49), pp. 1-7.
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