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2- (a) Equating the coefficients of x*+r-1 to zero ECk +r)(k +r-1)a, **- |(k +r)(k +r - 1) + 2(k +r) – n(n + 1)ja, r*) = 0. yields to: a,a = ae- (b)Using the following recurrence relation k (k - 1) Show that the odd coefficients are (-1) a, n= 1,2,3, . (?)! %3D

2- (a) Equating the coefficients of x*+r-1 to zero ECk +r)(k +r-1)a, **- |(k +r)(k +r - 1) + 2(k +r) – n(n + 1)ja, r*) = 0. yields to: a,a = ae- (b)Using the following recurrence relation k (k - 1) Show that the odd coefficients are (-1) a, n= 1,2,3, . (?)! %3D

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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2- (a) Equating the coefficients of x**7-1 to zero ECk +r)(k +r- 1)a, x*er- - (k +r)(k +r - 1) + 2(k +r) – n(n + 1)ja, xter) = 0, yields to: aka, = a- (b)Using the following recurrence relation 1 dg =k (k - 1) Show that the odd coefficients are (-1) a, n = 1,2,3, . (?)! azn+1 =
Transcribed Image Text:2- (a) Equating the coefficients of x**7-1 to zero ECk +r)(k +r- 1)a, x*er- - (k +r)(k +r - 1) + 2(k +r) – n(n + 1)ja, xter) = 0, yields to: aka, = a- (b)Using the following recurrence relation 1 dg =k (k - 1) Show that the odd coefficients are (-1) a, n = 1,2,3, . (?)! azn+1 =
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