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Perform the following index shifts: i. Write y = E=0 anx" as a series that starts at n = 2 ii. Write y = Σan(x + 1)" as a series that starts at n = 0 n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 as a series that starts at n = 5 Σ 3n-1 v. Write y = o(-1)" as a series that starts at n = 2 iv. Write y = 100 n=1

Perform the following index shifts: i. Write y = E=0 anx" as a series that starts at n = 2 ii. Write y = Σan(x + 1)" as a series that starts at n = 0 n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 as a series that starts at n = 5 Σ 3n-1 v. Write y = o(-1)" as a series that starts at n = 2 iv. Write y = 100 n=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Perform the following index shifts: i. Write y = Σo anx" as a series that starts at n = 2 [2 an(x + 1)ª as a series that starts at n = 0 ii. Write y = n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 iv. Write y = v. Write y = Σ as a series that starts at n = 5 3n-1 o(-1)" as a series that starts at n = 2 'n=1
Transcribed Image Text:Perform the following index shifts: i. Write y = Σo anx" as a series that starts at n = 2 [2 an(x + 1)ª as a series that starts at n = 0 ii. Write y = n=2 iii. Write y = E=3(-1)" (x-4)" as a series that starts at n = 0 iv. Write y = v. Write y = Σ as a series that starts at n = 5 3n-1 o(-1)" as a series that starts at n = 2 'n=1
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