International Journal of Mathematics and Mathematical Sciences
Volume 1 (1978), Issue 3, Pages 257-267
doi:10.1155/S0161171278000290

Nonlinear differential equations and algebraic systems

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.