Use power series to find the general solution of the given differential equation. (2 + x)y" - 5y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve

12X + ...
Use power series to find the general solution of the given differential equation.
(2 + x)y" – 5y = 0
Choose the correct solution below, where Co and c, are arbitrary constants.
O A. y=Co
5 2
1+ -X
4
+ C1
...
x +
24
O B. y- (1 )(*)
3
-x° +
24
+
+ C.
x+
5
O C. y= co1 +
12
4
-х +
24
+ C1
5
x+
+
...
5
3
-x + ...
3
-x° +
12
2
D. y= Co
1+
4
+ c, x+
24
Transcribed Image Text:12X + ... Use power series to find the general solution of the given differential equation. (2 + x)y" – 5y = 0 Choose the correct solution below, where Co and c, are arbitrary constants. O A. y=Co 5 2 1+ -X 4 + C1 ... x + 24 O B. y- (1 )(*) 3 -x° + 24 + + C. x+ 5 O C. y= co1 + 12 4 -х + 24 + C1 5 x+ + ... 5 3 -x + ... 3 -x° + 12 2 D. y= Co 1+ 4 + c, x+ 24
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