- 期刊
NONLINEAR DIFFERENTIAL EQUATIONS AND ALGEBRAIC SYSTEMS
並列摘要
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.
延伸閱讀
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- García, M. A. A., Armenta, M. E. F., Reyna, M. E. G., & González, E. L. (2015). Algebrization of Nonautonomous Differential Equations. Journal of Applied Mathematics, 2015(), 770-779-075. https://doi.org/10.1155/2015/632150
- PINTO, M. (1997). NONLINEAR DELAY-DIFFERENTIAL EQUATIONS WITH SMALL LAG. International Journal of Mathematics and Mathematical Sciences, 1997(), 137-146. https://doi.org/10.1155/S0161171297000203
- Gepreel, K. A., Nofal, T. A., & Alotaibi, F. M. (2013). Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics. Abstract and Applied Analysis, 2013(), 207-216-1020. https://doi.org/10.1155/2013/756896