y" + xy' + (x2 + 2)y=0
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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Question
Transcribed Image Text:c5agHuCpmyh02nvmCPguu9empi 5oFsWnfm42xQ/formResponse
Question*
Using the power series method about x = 0, the recurrence relation of the differential
equation:
y" + xy' + (x2 +2)y = 0
is:
CR+2
(k+1)Ck
4(k+2)
k = 0,1, ..
Gk+2 =
(k+2)Ck+Ck-a
(k+2)(k+1)
k = 2,3, ..
O This option
This option
(1–2k)Cx
(k+2)(k+1)
(k-2)(k-3)CK
k 1,2, ...
„k = 0,1,
(k+2)(k+1)
O This option
This option
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