Derivation of 2nd Order Runge-Kutta Method

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This a derivation of the second order Runge-Kutta method prepared my the fall 2021 Washington mathematics PhD program application.
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Very well done. I wish there was more explanations at the end about the order. But other than that, this was very easy to follow and it really made it click for me.

arminneashrafi
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Great video! It's helped me a lot!

lucasmelick
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Can you explain how the final equation can be used for Modified Euler's Methods, Heun's Method, and Ralston's Method?

kelvinminor