Gorbuzov, V. N.; Tyshchenko, V. Yu. Particular integrals of systems in total differentials. (Russian) Zbl 0760.34004 Differ. Uravn. 27, No. 10, 1819-1822 (1991). 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 Cited in 1 Document MSC: 34A05 Explicit solutions, first integrals of ordinary differential equations Keywords:systems in total differentials; existence of particular integrals PDF BibTeX XML Cite \textit{V. N. Gorbuzov} and \textit{V. Yu. Tyshchenko}, Differ. Uravn. 27, No. 10, 1819--1822 (1991; Zbl 0760.34004) OpenURL