Find a power series P(x) satisfying the differential equation y xy' + y = 0 with

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Find a power series P(x) satisfying the differential equation

y" − xy' + y = 0

with initial condition y(0) = 1, y'(0) = 0. What is the radius of convergence of the power series?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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