Nonlinear differential equations and algebraic systems

Lloyd K. Williams

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-11

Abstract:

In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.

The result gives us a form like a differential quotient requiring only that a limit be taken. Like the familiar expression for the solution of linear, first order, ordinary equations, it is the same in all cases.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:540181

DOI: 10.1155/S0161171278000290

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