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Nonlinear differential equations and algebraic systems

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  • Lloyd K. Williams

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.

Suggested Citation

  • Lloyd K. Williams, 1978. "Nonlinear differential equations and algebraic systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 1, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:540181
    DOI: 10.1155/S0161171278000290
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