Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 11 - Series Solutions to Linear Differential Equations - 11.2 Series Solutions about an Ordinary Point - True-False Review - Page 739: b

Answer

False

Work Step by Step

We see that the radius of convergence the given power series described by the solution of an differential equation must have radius of convergence at least $2$ when $x_0=0$ and $R=2$. Therefore, the given equation must have radius of convergence at least $2$. So, the given statement is false.
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