Equating the coefficients of z**-1 to zero E{(k +r)(k+r- 1) az 2*r-2 - [(k + r)(k+r-1) +2(k+r) – n(n + 1) a, a*} = 0 %3D k-0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Equating the coefficients of z*+r-1 to zero
E{(k +r)(k +r - 1) az a**r-2 - [(k +r)(k+r - 1) + 2(k +r) - n(n + 1)|az ***} = 0
k-0
(k+r – 1)(k+r) – n(n+1)
(k+r+1)(k+r)
ak+1 =
ak-1
Option 4
(k +r+1) – n(n +1)
(k +r – 1)(k+r)
ak+1 =
ak
Option 1
(k + r) – n(n+ 1)
ak-1
ak+1
(k +r)²
Transcribed Image Text:Equating the coefficients of z*+r-1 to zero E{(k +r)(k +r - 1) az a**r-2 - [(k +r)(k+r - 1) + 2(k +r) - n(n + 1)|az ***} = 0 k-0 (k+r – 1)(k+r) – n(n+1) (k+r+1)(k+r) ak+1 = ak-1 Option 4 (k +r+1) – n(n +1) (k +r – 1)(k+r) ak+1 = ak Option 1 (k + r) – n(n+ 1) ak-1 ak+1 (k +r)²
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