" The sum of the two power series: n(n + 2)cnxn-1 + Σ Enchanta 72=0 n=1 can be written in a single power series as: a. 3c₁ +4c₂x + 2[(k-3) (k-1) Ck+1 + (k − 2)ck-2]xk b. 3c₂ +8c₂x+x=2[(k+ 3) (k+1) Ck+2 + (k − 2)ck+1]xk c. 3c₁ +8c₂x + 2[(k+ 3) (k+1) Ck+1 + (k − 2)ck-2]xk d. None of them

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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"
The sum of the two power series:
n(n + 2)cnxn-1 +
can be written in a single power series as:
a. 3c₁ +4c₂x +
3c₁ +8c₂x +
c. 3c₁ +8c₂x +
b.
d. None of them
n=1
Σ Enchanta
72=0
2[(k-3) (k-1) Ck+1 + (k − 2)ck-2]xk
2[(k+ 3) (k+1) Ck+z2+ (k − 2)ck+1]xk
2[(k+ 3) (k+1) Ck+1 + (k − 2)ck-2]xk
Transcribed Image Text:" The sum of the two power series: n(n + 2)cnxn-1 + can be written in a single power series as: a. 3c₁ +4c₂x + 3c₁ +8c₂x + c. 3c₁ +8c₂x + b. d. None of them n=1 Σ Enchanta 72=0 2[(k-3) (k-1) Ck+1 + (k − 2)ck-2]xk 2[(k+ 3) (k+1) Ck+z2+ (k − 2)ck+1]xk 2[(k+ 3) (k+1) Ck+1 + (k − 2)ck-2]xk
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