Today I studied Euler's Method. I decided to see a Khan Academy video regarding Euler's Method in order to freshen up on the key concepts of it (https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/v/eulers-method). This method is the simplest of numerical integration. At the end of my study session, I realized that three very important concepts are needed to apply Euler's Method.
1) A starting point (x.y)
2) The change in "x"
3) The slope (of each line segment)
By using the chart below, we are able to easily apply this method:
(x,y)
| Δx or dx |
dydx
|
dx(dydx)=dy
|
(x+dx,y+dy)
|
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*Lastly, a very important thing I discovered is that Euler's Method is basically all repetition. You just need to keep on repeating steps in order to discover the desired "x-value."
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