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2- (a) Equating the coefficients of x*+r-1 to zero Z{Ck + r)(k +r - 1)a, x**r-2 - [(k + r)(k +r-1) + 2(k +r)-n(n + 1)la, r***} = 0, k=0 yields to: ag = a- (b)Using the following recurrence relation 1 ax ax-2 k (k- 1) Show that the odd coefficients are (-1) az n = 1,2,3,... (?)! a2n+1 =

2- (a) Equating the coefficients of x*+r-1 to zero Z{Ck + r)(k +r - 1)a, x**r-2 - [(k + r)(k +r-1) + 2(k +r)-n(n + 1)la, r***} = 0, k=0 yields to: ag = a- (b)Using the following recurrence relation 1 ax ax-2 k (k- 1) Show that the odd coefficients are (-1) az n = 1,2,3,... (?)! a2n+1 =

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 xk+r-1 to zero Z{Ck + r)(k +r- 1)a, x***-2 - [(k + r)(k +r-1) +2(k +r)- n(n+ 1) la, r***) = 0, yields to: aga = ax-? (b)Using the following recurrence relation 1 ax Ax-2 k (k-1) Show that the odd coefficients are (-1) azn+1 az n = 1,2,3,... %3D (?)!
Transcribed Image Text:2- (a) Equating the coefficients of xk+r-1 to zero Z{Ck + r)(k +r- 1)a, x***-2 - [(k + r)(k +r-1) +2(k +r)- n(n+ 1) la, r***) = 0, yields to: aga = ax-? (b)Using the following recurrence relation 1 ax Ax-2 k (k-1) Show that the odd coefficients are (-1) azn+1 az n = 1,2,3,... %3D (?)!
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