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Particular integrals of systems in total differentials. (Russian) Zbl 0760.34004

Conditions for existence of particular integrals for systems of the form \[ dx_ i=\sum^ m_{j=1}P_{ij}(x_ 1,\dots,x_ n,t_ 1,\dots,t_ m)dt_ j,\quad i=1,2,\dots,n \] are given, where \(P_{ij}\) are polynomials in \(x_ i\) with coefficients analytic in \(t_ j\).
Reviewer: B.Maslowski

MSC:

34A05 Explicit solutions, first integrals of ordinary differential equations
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