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Given the power series E n A, xlu - 1) n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified.

Given the power series E n A, xlu - 1) n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified.

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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Given the power series 00 2 n A x(n - 1) Σ n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. (A) Σ n A x" - 1) becomes > -1 A, xR R n =1 R = 1 00 00 > n A x" -1) becomes (R - 1) A (R - 1) ** B n =1 R =0 n A x" - 1) becomes Ž (R - 1) A (e - 1) ** R = -1 00 E n A, xa - 1) becomes ERA, * n =1 R = 1 00 00 n A x" - 1) becomes Ž (R + 1) A (R + 1) ** E n =1 R =0
Transcribed Image Text:Given the power series 00 2 n A x(n - 1) Σ n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. (A) Σ n A x" - 1) becomes > -1 A, xR R n =1 R = 1 00 00 > n A x" -1) becomes (R - 1) A (R - 1) ** B n =1 R =0 n A x" - 1) becomes Ž (R - 1) A (e - 1) ** R = -1 00 E n A, xa - 1) becomes ERA, * n =1 R = 1 00 00 n A x" - 1) becomes Ž (R + 1) A (R + 1) ** E n =1 R =0
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