Find a power series 00 P(x) = anx n=0

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Find a power series00 P(x) = anxsatisfying the differential equation y = −y with initial condition y(0) = 1. Then use Eq. (8) in Section 9.1 to conclude that P(x) = e−x.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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