Using the power series method about x = 0, the recurrence relation of the differential!!equation:(x2 + 1)y"-4xy' +6y 0is:(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 optionThis optionO This optionO This option(k+1)Ck k = 0,1, ...Ck+2(1-2k)Ck(k +2)(k+1)k = 1,2, ..C42 = -%3D4(k+2)This optionThis option

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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+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

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

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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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