Picard Iteration for simple ODE | Mathematics | Page 1

blissful abyss Oct 5, 2022, 3:40 AM

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Somehow my calculation keeps going wrong. The first time it turns out the iteration algorithm in the textbook had a typo. This time I can’t find where it is going wrong. The 2/3 term is somehow cursed. Included is screenshot of work, it is part a

earnest ibexBOT Oct 5, 2022, 3:40 AM

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blissful abyss Oct 5, 2022, 3:54 AM

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Small error in u_4: integrand needs +2

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doesnt fix issue

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Nevermind, it is $\sum_{i=0}^k\frac{4t^i}{i!}-2$

light spearBOT Oct 5, 2022, 4:05 AM

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c

blissful abyss Oct 5, 2022, 4:05 AM

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i saw 3 and thought "that isnt a factorial"

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dumb

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.close

#Picard Iteration for simple ODE