Let (a) Show that F(x) has infinite radius of convergence. (b) Show that y = F(x) is

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Let F(x) = 00  k=0 x24 2k 2k.k!

(a) Show that F(x) has infinite radius of convergence.
(b) Show that y = F(x) is a solution of

y" = xy + y, y(0) = 1, y'(0) = 0

(c) Plot the partial sums Sfor N = 1, 3, 5, 7 on the same set of axes.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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