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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: Ck+2 Ck+2 O This option CHE = (1–2k)Ck_, k = 1,2, --- (k+2) (k+1) R2X* 39CK {*+2}{k=1} , k = 0,1, (k+2) Ck+Ck-2, k-2,3. - (k+2)(k+1) k = 0,1,... This option CK+2 = (k+1) Ck 4(k+2)

Using the power series method about x = 0, the recurrence relation of the differential equation: - (x²+1)y" − 4xy' +6y=0 is: Ck+2 Ck+2 O This option CHE = (1–2k)Ck_, k = 1,2, --- (k+2) (k+1) R2X* 39CK {*+2}{k=1} , k = 0,1, (k+2) Ck+Ck-2, k-2,3. - (k+2)(k+1) k = 0,1,... This option CK+2 = (k+1) Ck 4(k+2)

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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Using the power series method about x= 0, the recurrence relation of the differential equation: (r2 + 1)y" - 4xy + 6y = 0 is: (1-2k)Ck (k+2)(k+1) (k+2)Ck+Cx-2 k-2,3,. (k+2)(k+1) Ck+2 k = 1,2, ... Ck+2 This option This option (k+1)Ck Ck+2 ,k = 0,1, .. 4(k+2) ' This ontion MATH 770 Final
Transcribed Image Text:Using the power series method about x= 0, the recurrence relation of the differential equation: (r2 + 1)y" - 4xy + 6y = 0 is: (1-2k)Ck (k+2)(k+1) (k+2)Ck+Cx-2 k-2,3,. (k+2)(k+1) Ck+2 k = 1,2, ... Ck+2 This option This option (k+1)Ck Ck+2 ,k = 0,1, .. 4(k+2) ' This ontion MATH 770 Final
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