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Euler's Method for Solving Initial Value Problems in Ordinary Differential Equations.

This work presents Euler’s method for solving initial value problems in ordinary differential equations. This method is presented from the point of view of Taylor’s algorithm which considerably simplifies the rigorous analysis. We discuss the stability and convergence of the method under consideration and the result obtained is compared to the exact solution. The error incurred is undertaken to determine the accuracy and consistency of Euler’s method.