Using the power series method about x = 0, the recurrence relation of the differential equation: (x2 + 1)y"-4xy' + 6y 0 is: (k+2)Cx+Cx-ak 2,3, .. Ck+2)(k+1) C+2 (k-2) (k-3)Ck ,k = 0,1, .-- (k+2)(k+1) This option This option O This option O This option Ck+2 (k+1)Ck k = 0,1, ... Cx+z=- (1-2k)Ck (k+2)(k+1) k = 1,2, ... %3D 4(k+2) CB

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the power series method about x = 0, the recurrence relation of the differential
!!
equation:
(x2 + 1)y"-4xy' +6y 0
is:
(k+2)Cx+Cz-a k 2,3, .
Ck+2
(k-2) (k-3)Ck
(k+2) (k+1)
,k = 0,1, .
(k+2)(k+1)
...
This option
This option
O This option
O This option
(k+1)Ck k = 0,1, ...
Ck+2
(1-2k)Ck
(k +2)(k+1)
k = 1,2, ..
C42 = -
%3D
4(k+2)
This option
This option
Transcribed Image Text:Using the power series method about x = 0, the recurrence relation of the differential !! equation: (x2 + 1)y"-4xy' +6y 0 is: (k+2)Cx+Cz-a k 2,3, . Ck+2 (k-2) (k-3)Ck (k+2) (k+1) ,k = 0,1, . (k+2)(k+1) ... This option This option O This option O This option (k+1)Ck k = 0,1, ... Ck+2 (1-2k)Ck (k +2)(k+1) k = 1,2, .. C42 = - %3D 4(k+2) This option This option
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