Find the general solution of the nonhomogeneous equation y4) + 2 y "+y=cos( 3 x) + 2 1 a) y =C, cos(x) + C, sin (x) + C,ecos(x) + C, e' sin(x) + 2+ cos( 3x) 64 b) O y=C, e'+ C,xe° + C, cos(x) + C, sin(x) – - 64 cos( 3x) c) O y=C, e'+ C,xe*+ C, cos(x) + C, sin(x) + 2 + sin(3x) d) O y=C, cos(x) + C, e+C,x cos(x) + C,x sin(x) – 2 1 cos( 3x) 64 y =C, cos(x) + C, sin(x) + C,x cos(x) + C, x sin(x) + 2+ 1 cos( 3x) 4 64 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
Problem 1RQ
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Find the general solution of the nonhomogeneous equation
y4) + 2 y "+y=cos( 3 x) + 2
1
a)
y =C, cos(x) + C, sin (x) + C,ecos(x) + C, e' sin(x) + 2+
cos( 3x)
64
b) O y=C, e'+ C,xe° + C, cos(x) + C, sin(x) – -
64
cos( 3x)
c) O y=C, e'+ C,xe*+ C, cos(x) + C, sin(x) + 2 +
sin(3x)
d) O y=C, cos(x) + C, e+C,x cos(x) + C,x sin(x) – 2
1
cos( 3x)
64
y =C, cos(x) + C, sin(x) + C,x cos(x) + C, x sin(x) + 2+
1
cos( 3x)
4
64
f) O None of the above.
Transcribed Image Text:Find the general solution of the nonhomogeneous equation y4) + 2 y "+y=cos( 3 x) + 2 1 a) y =C, cos(x) + C, sin (x) + C,ecos(x) + C, e' sin(x) + 2+ cos( 3x) 64 b) O y=C, e'+ C,xe° + C, cos(x) + C, sin(x) – - 64 cos( 3x) c) O y=C, e'+ C,xe*+ C, cos(x) + C, sin(x) + 2 + sin(3x) d) O y=C, cos(x) + C, e+C,x cos(x) + C,x sin(x) – 2 1 cos( 3x) 64 y =C, cos(x) + C, sin(x) + C,x cos(x) + C, x sin(x) + 2+ 1 cos( 3x) 4 64 f) O None of the above.
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