Euler's Method (Numerical Solutions for Differential Equations)

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This video explains how Euler's method is used to approximate a function value, given a first-order differential equation and some initial condition. We explain how the formula is related to the slope of a line tangent to the initial condition on the actual solution curve for the differential equation. We then work through an example of how to use Euler's method to find a numerical approximation for a y value given some differential equation.
0:00 Where the formulas comes from
4:32 Worked example
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I just wanted to say, I am taking a summer D.E course and you are posting these updated videos exactly when I need them. Great explanations. Thanks for the videos!

kylerfarrar
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You explain this so clearly! Thanx! 😊

curtpiazza
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Great expla
great explanation thanks from South Africa

Caurt.
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the little tiny proof you gave was just a bit too helpful for me to understand, now I can never forget this concept. Thank you so much!!!! btw, do you have any videos on the poisson distribution? Also, can you make videos on discrete maths?

turbothrottletrouble