On the existence of a common integrating factor for a system of first order differential equations. (Q2624831)
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| English | On the existence of a common integrating factor for a system of first order differential equations. |
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On the existence of a common integrating factor for a system of first order differential equations. (English)
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1933
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Anknüpfend an zwei Arbeiten von \textit{J. P. Dalton} (1928, 1930; F. d. M. 54, 455 (JFM 54.0455.*); \(56_{\text{I}}\), 382) untersucht Verf. die Bestimmung eines integrierenden Faktors für das System von gewöhnlichen Differentialgleichungen \[ P_rdx+Q_rdy=0 \qquad (r=1, 2, \dots, n) \tag{1} \] und für das allgemeinere System \[ \begin{gathered} P_{r1}dx_1+P_{r2}dx_2+\cdots +P_{rn}dx_n=0 \tag{2}\\ (r=1, 2, \dots, m; \quad n\geqq 3). \end{gathered} \] (IV 12. )
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