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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Question

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

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