1.Which of the following recurrence relation should be obtained when power series solution method is applied on the D.E. (1+2²) y" – 4xy/ + 6y = 0 O A) (n-2)(n-4) (n+2) An+2 = - - ɑn в) (п-3) an+1 = n(n+1) an C) (п-2) (п-3) (n+2)(n+1) an An+2 = - O D) п An+1 = n+1ªn E) (n-1)(n-2), n(n+1) An+2 = an

1.Which of the following recurrence relation should be obtained when power series solution method is applied on the D.E. (1+2²) y" – 4xy/ + 6y = 0 O A) (n-2)(n-4) (n+2) An+2 = - - ɑn в) (п-3) an+1 = n(n+1) an C) (п-2) (п-3) (n+2)(n+1) an An+2 = - O D) п An+1 = n+1ªn E) (n-1)(n-2), n(n+1) An+2 = an

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: (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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