Use power series to find the general solution of the given differential equation. (x2 - 4) y" - 6y = 0 Choose the correct solution below, where co and c, are arbitrary constants. 3 1 .3 + 4 1 .3 О В. у3Со 1 4 C1 x+ X- 1 3 .3 Oc. O C. y= co1+ + 3 2 D. y= Co 1 +x+ 4 + C1 1 2 -x- + O E. y= co 1 4 + C4 x+-x' 4 C1 ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use power series to solve

Use power series to find the general solution of the given differential equation.
(x2 - 4) y" - 6y = 0
Choose the correct solution below, where co and c, are arbitrary constants.
3
1
.3
+
4
1
.3
О В. у-Со
1
4
C1 x+
X-
1
3
.3
Oc.
O C. y= co1+
+
3
2
D. y= co|1+x+
4
+ C1
1
2
-x- +
O E. y= co 1
4
X +
...
Transcribed Image Text:Use power series to find the general solution of the given differential equation. (x2 - 4) y" - 6y = 0 Choose the correct solution below, where co and c, are arbitrary constants. 3 1 .3 + 4 1 .3 О В. у-Со 1 4 C1 x+ X- 1 3 .3 Oc. O C. y= co1+ + 3 2 D. y= co|1+x+ 4 + C1 1 2 -x- + O E. y= co 1 4 X + ...
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