Power Series Solution for ODE: y' - 2xy = 0

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This is cool! I’ve always loved how adding 0 is the key at times. So subtle! Suggestion: don’t use all those arrows to restate the summation, which suggests something is hard, so just memorize a rubric. In the end, there will be too much to memorize. The only way to keep going successfully is to understand why, not just what.

ntruesdale
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VERY effective visuals! Wish I knew how to do that!

ntruesdale
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Best tutorial so far. Please we need more video like this.

taiwoakinola
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If we take the a0 out of the series and use the fact that x^(2n) = (x^2)^n, we can recognize the series of exponential and thus :
y = a0 × exp(x^2)

gowipe-grandcross
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Daaammm nice job bro!!!! What a video!!!

SebastianRodriguez-lcpk