- #1
mathman44
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Homework Statement
The Attempt at a Solution
I did the "show that" part. But what is throwing me off is the x(0)=0 part. What is "x" a function of? Using the series in the square brackets,
I found that when
n=0, a_1 = a_0 ^2
n=1, a_2 = (a_1 * a_0)/2
n=2, a_3 = (a_0*a_2 + a_1^2 + a_2*a_0)/3
So it would seem that a_3 is still zero because all the terms it is a function of are also zero (or, at least, should be). I'm not confident about this... where did I go wrong?
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