Abathun, Addisalem (PhD)Denekew, Tadfie2019-09-182023-11-042019-09-182023-11-042018-08-12http://etd.aau.edu.et/handle/123456789/19109In this paper we introduce the notion of Euler's method and error analysis. And we obtain various conditions for stability analysis and it has been shown that the Euler's method is convergent and consistent. The method is clari ed with the help of numerical illustration and graphical analysis.enEuler's MethodError AnalysisThesis