In solving a differential equation by Frobenius method of series solution about x= 0, we obtain the following indicial equation and recurrence relation: (27-1)=0 and Cn+1= 6n +r+3 n 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 OAY =1+ 133 OBy =x-1/2| 43 +.. Ocy=x1/2 x+ +1 133 +: +.. 19

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In solving a differential equation by Frobenius method of series solution about x = 0, we obtain the following indicial equation and recurrence relation: 7(2r–1)=0 and
1
Cn+1 =
%3D
6n +r+3n 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=I
O A. Y = 1+x
4
x+...
133
O B. Y =x-1/2/
4 3
+..
133
O c.y =xl/2|
12
4 3
+...
c.
4 2
O D. y = x1/2
1+x+
133
++..
O E.Y =x1/2
1+x+
19
4 2
+...
Transcribed Image Text:In solving a differential equation by Frobenius method of series solution about x = 0, we obtain the following indicial equation and recurrence relation: 7(2r–1)=0 and 1 Cn+1 = %3D 6n +r+3n 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=I O A. Y = 1+x 4 x+... 133 O B. Y =x-1/2/ 4 3 +.. 133 O c.y =xl/2| 12 4 3 +... c. 4 2 O D. y = x1/2 1+x+ 133 ++.. O E.Y =x1/2 1+x+ 19 4 2 +...
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