Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: Using the suggested approach, the recurrence relation for n ≥ 1 is:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given the differential equation: x(x+3)y'' - 9y' - 6y = 0

Question: Using the suggested approach, the recurrence relation for n ≥ 1 is:

A. 3(n + 4)(n-1)an-1
B. 3(n − 4)(n+1)an−1
C. (n + 4)(n+1)an-1 + 3n(n + 4)an = 0
D. (n − 4) (n + 1)an−1 + 3n(n − 4) an = 0
+ n(n+ 4) an = 0
+ n(n + 1)an = 0
Transcribed Image Text:A. 3(n + 4)(n-1)an-1 B. 3(n − 4)(n+1)an−1 C. (n + 4)(n+1)an-1 + 3n(n + 4)an = 0 D. (n − 4) (n + 1)an−1 + 3n(n − 4) an = 0 + n(n+ 4) an = 0 + n(n + 1)an = 0
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