In solving a differential equation by Frobenius method of series solution about x = 0, we obtain the following indicial equation and recurrence relation: 1 r(2r-1) = 0 and Cn+1 C, %3D 5n +r+5n where n = 0,1,2,3,... Find the solution corresponding to the larger root of the indicial equation. Include the first three nonzero terms, use Co = 1 2 4 .2 OA. Y = 1+ 11 -x +... 231 1 1 + 4 x*+.. B. Y =x1/2/ 21 2x2 4 + 231 .3 C.Y = x-1/2 x* +... 11 1 .1/2 1+ 4 .2 +.. OD.V = x 231 1 „2 4 3 OE.Y =x1/2/ X+x2 -x² +... 21 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In solving a differential equation by
Frobenius method of series solution about
* = 0, we obtain the following indicial
equation and recurrence relation:
r(2r- 1) = 0 and Cn+1
1
Cn where
5n +r+5
n = 0,1,2,3,... Find the solution
%3|
corresponding to the larger root of the
indicial equation. Include the first three
nonzero terms, use Co = 1.
2
OA. = 1+
.2
x +...
231
B. Y = x
1/2)
1+
4 „2
x* +...
21
2
.2
4
.3
x +...
Oc. =x-1/2
231
11
2
1+
4
x" +...
231
1/2
OD. V = x
-X+
O E. V =x1/2
6.
1 ,2 4,3
* +...
21
Transcribed Image Text:In solving a differential equation by Frobenius method of series solution about * = 0, we obtain the following indicial equation and recurrence relation: r(2r- 1) = 0 and Cn+1 1 Cn where 5n +r+5 n = 0,1,2,3,... Find the solution %3| corresponding to the larger root of the indicial equation. Include the first three nonzero terms, use Co = 1. 2 OA. = 1+ .2 x +... 231 B. Y = x 1/2) 1+ 4 „2 x* +... 21 2 .2 4 .3 x +... Oc. =x-1/2 231 11 2 1+ 4 x" +... 231 1/2 OD. V = x -X+ O E. V =x1/2 6. 1 ,2 4,3 * +... 21
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