Give the general solution of the differential equation y"- 5y'+ 6y =x +3x 5 2 x+ 12 155 37 1 3 x + 216 36 155 b) O y-c, + C, - 5 2 216 36 12 6. 7 + 216 67 1 1 c) O y-C 36 12 67 d) O y=C, * + C,e* + 1 x+ 12 3x 216 36 331 125 13 2 5 e) O y=C, e* 216 36 6 f) O None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give the general solution of the differential equation
p"- 5y'+ 6y=x+ 3x
37
+
216
3x
155
5
1
a) O y=c, 2 + C, *+
36
12
5 2
xー
12
3x
155
1
b) O y=C, e*+
3
6.
216
36
3x
67
7
2
1
3
216
36
12
6
67
+
216
1
1
d) O y=c, + C,"
2
3
36
12
331
125
13 2
e) O y=c, + C, -
3x
216
36
12
f) O None of the above.
Transcribed Image Text:Give the general solution of the differential equation p"- 5y'+ 6y=x+ 3x 37 + 216 3x 155 5 1 a) O y=c, 2 + C, *+ 36 12 5 2 xー 12 3x 155 1 b) O y=C, e*+ 3 6. 216 36 3x 67 7 2 1 3 216 36 12 6 67 + 216 1 1 d) O y=c, + C," 2 3 36 12 331 125 13 2 e) O y=c, + C, - 3x 216 36 12 f) O None of the above.
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