y" + xy' + (x2 + 2)y=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 3E
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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
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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