Elementary Differential Equations and Boundary Value Problems 9th Edition

Published by Wiley
ISBN 10: 0-47038-334-8
ISBN 13: 978-0-47038-334-6

Chapter 5 - Series Solutions of Second Order Linear Equations - 5.1 Review of Power Series - Problems - Page 249: 22

Answer

$$\sum^{\infty}_{n=2} a_{n-2}x^{n}$$

Work Step by Step

1. Substitute each $n$ in the expression for a $n-2$: $$\sum^{\infty}_{n-2=0} a_{n-2}x^{n-2+2}$$ $$ \sum^{\infty}_{n=2} a_{n-2}x^{n}$$
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