XIV. On the singular solutions of simultaneous ordinary differential equations and the theory of congruencies

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Abstract
This paper is an attempt to show how the singular solutions of simultaneous ordinary differential equations are to be found either from a complete primitive or from the differential equations. The latter question has been treated by Mayer (‘Math. Ann.,' vol. 22, p. 368) in a somewhat different way, but with the same result. He also gives a reference to a paper in Polish by Zajaczkowski (summarized in vol.9 of the ‘Jahrbuch der Fortschritte der Mathematik), and to one by Serret in vol. 18 of ‘Liouville’s Journal'.

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