Give the general solution of the differential equation y"+2y'- 3y =x+x 97 29 a) O y-C, e' + C, e 3*+ 54 18 -3x 179 73 b) O y-C, e' + C, 108 36 x*+ 12 12 -3x 179 73 7 5 c) O y -C,e+C,e x - 108 36 12 12 97 29 5 2 d) O y-c, e'+C,e*- -3x 3 54 18 e) O y-C, e* + C,e 46 17 x+ x²+ 27 f) O None of the above.

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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Give the general solution of the differential equation
3
y"+ 2y'- 3y=x +x
97
a) O y=C, e'+ C,e
29
x+
18
-3x
54
179
+
108
-3x
73
y=C, e" + C,e
12+
b)
36
-3x
179
73
7
2
5
c) O y=C, e'+C,e*-
36
108
12
12
97
29
xー
18
1
d) O y =C, e'+ C,
-3x
e
„2
6
54
46
+
27
-3x
17
2
1
3
e) O y=C e+ C,e
+ -
I+
9
3
f)
O None of the above.
Transcribed Image Text:Give the general solution of the differential equation 3 y"+ 2y'- 3y=x +x 97 a) O y=C, e'+ C,e 29 x+ 18 -3x 54 179 + 108 -3x 73 y=C, e" + C,e 12+ b) 36 -3x 179 73 7 2 5 c) O y=C, e'+C,e*- 36 108 12 12 97 29 xー 18 1 d) O y =C, e'+ C, -3x e „2 6 54 46 + 27 -3x 17 2 1 3 e) O y=C e+ C,e + - I+ 9 3 f) O None of the above.
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