Euler's Method: Example

Example: Consider the autonomous differential equation with the initial condition

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1.
Find

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Hint: You may want to sketch the Slope Fields of this differential equation

2.
Find the first five terms of the Euler Approximation when tex2html_wrap_inline27 .
3.
Is there a contradiction between the results of 1 and 2 ? If yes, explain what happened.

Solution:

[Differential Equations] [Euler's Method]
[Geometry] [Algebra] [Trigonometry ]
[Calculus] [Complex Variables] [Matrix Algebra]

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Author: Mohamed Amine Khamsi

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