#differential equation

8 messages · Page 1 of 1 (latest)

red fern
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Can someone solve the below differential equation?

willow terrace
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I got
y=1+x+3/2 x^2+4/3 x^3+29/40 x^4+1/15 x^5+1/18 x^6+1/63x^7
as the second approximation, however couldn't find a pattern

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I can show my work tomorrow, when it's not 1:30am and I can take pictures of pencil notations

red fern
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Ah okay tnx

willow terrace
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It's written a bit sloppily, I could've saved brain power and written less if I had replaced y0 with 1 earlier

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And it's a valid approximation around x=0, I'd say. The red graph is my function Y, the green graph is its derivative Y', and the purple graph is Y^2+YX+X^2