Answer
False
Work Step by Step
Since, $\sum_{n=0}^{\infty} (a_n+b_n) x^n=0$ when $b_n=-a_n$
This implies that the individual summations does not converge.
Therefore, the given statement is $\bf{False}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 11 - Series Solutions to Linear Differential Equations - 11.1 A Review of Power Series - True-False Review - Page 729: c
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
