Give the general solution of the differential equation y"- 8y'+ 16y=5 e**cos(4 x) 4x 5 a) O y-q, + C,xe° 4x + e" cos(4 x) 16 5 4x b) O y=C, e" + C,xe* - e** cos(4 x) 16 c) O y=c, e*+C,xe* - 5 cos( 4 x) 5 x sin(4 x) + 4 5 sin (4 x) 16 d) O y=C, e*+C,xe** - cos(4 x) – – sin(4 x) 5 5. x sin (4 x) 5 sin (4 x) 16 5 e) O y=C, "+0 4x хе 4x e** cos(4 x) + 16 +xe* sin(4 x) + 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
y"- 8y'+ 16y=5 e**cos(4 x)
4x
5
a) O y-q + C,xe°
4x
+
e" cos(4 x)
16
4x
5 4x
b) O y-C, *+ C,xe
e** cos(4 x)
16
5
cos( 4 x)
5
x sin(4 x) +
4
5
sin (4 x)
4x
e
+
C,xe"- cos(4 x) –
5
5.
x sin (4 x)
5
sin(4 x)
4
16
e) O y=C, e"+0
5
e** cos(4 x) +
+xe* sin(4 x)
4x
4x
16
хе
+
f) O None of the above.
Transcribed Image Text:Give the general solution of the differential equation y"- 8y'+ 16y=5 e**cos(4 x) 4x 5 a) O y-q + C,xe° 4x + e" cos(4 x) 16 4x 5 4x b) O y-C, *+ C,xe e** cos(4 x) 16 5 cos( 4 x) 5 x sin(4 x) + 4 5 sin (4 x) 4x e + C,xe"- cos(4 x) – 5 5. x sin (4 x) 5 sin(4 x) 4 16 e) O y=C, e"+0 5 e** cos(4 x) + +xe* sin(4 x) 4x 4x 16 хе + f) O None of the above.
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