AbstractsMathematics

Singular solutions of differential equations of the first order

by Robert Ryland Fleet




Institution: University of Missouri – Columbia
Department:
Year: 1900
Record ID: 1541278
Full text PDF: http://hdl.handle.net/10355/15467


Abstract

A differential equation may be formed from all algebraic equations by the elimination of the arbitrary constants between the latter and its derivatives. The number of derivations being equal to the number of arbitrary constants in the algebraic equation. Thus we see that the order of a differential equation is the same as the number of arbitrary constants in its primitive. In this brief paper we propose to teach differential equations of the first order alone.