Re: closed form of solution?

In article <1117717549.006206.156200@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
James Hess <mysidia@xxxxxxxxx> wrote:

>I own a text by Boyce DiPrima which says that the function f(x)
>is analytic at x, if the function has a taylor expansion that
>converges to f at x.

No, that's not what it says (well, I haven't checked all editions,
but it's not what the sixth edition of "Elementary Differential
Equations and Boundary Value Problems" says on page 229 or page
244). Those extra words are important.

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada
.

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