Euler's Method: Example
Example: Consider the autonomous differential equation with the initial condition
.

 1.
 Find
.
Hint: You may want to sketch the Slope Fields of this differential equation
 2.
 Find the first five terms of the Euler Approximation when .
 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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