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Find the general solution of the nonhomogeneous equation y " - 3 y "+4 y ' – 12y =e + 2 1 3* + C, cos( 2 x) + C, sin ( 2 x) – - O -3x a) O y=C, 10 1 1 e* 10 -3x b) O y =C, e*+C, cos( 2 x) + C, sin ( 2 x) + 1 1 c) O y=C, e"+C, cos(2 x) + C, sin( 2 x) 10 1 1 e 10 -2x d) O y=C, e* + C, cos( 2 x) + C, sin(2 x) + e) O y=C, e+ C, cos( 2 x) + C, sin( 2 x) – - 1 1 e 3 f) O None of the above.

Find the general solution of the nonhomogeneous equation y " - 3 y "+4 y ' – 12y =e + 2 1 3* + C, cos( 2 x) + C, sin ( 2 x) – - O -3x a) O y=C, 10 1 1 e* 10 -3x b) O y =C, e*+C, cos( 2 x) + C, sin ( 2 x) + 1 1 c) O y=C, e"+C, cos(2 x) + C, sin( 2 x) 10 1 1 e 10 -2x d) O y=C, e* + C, cos( 2 x) + C, sin(2 x) + e) O y=C, e+ C, cos( 2 x) + C, sin( 2 x) – - 1 1 e 3 f) O None of the above.

Advanced Engineering Mathematics
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 y " - 3 y "+4 y'– 12y =e+ 2 -3x 1 1 it a) O y=C, e*+ C, cos( 2 x) + C, sin(2 x) - e* 10 1 1 e + 10 -3x b) O y=C, e*+C, cos( 2 x) + C, sin(2 x) + 6 1 c) O y=C, e*+ C, cos(2 x) + C, sin(2 x) 10 -2x 1 1 d) O y=C, e*+ C, cos( 2 x) + C, sin(2 x) ++ 10 1 e) O y=C, 2* + C, cos( 2 x) + C, sin( 2 x) –- - - 3 5 f) O None of the above.
Transcribed Image Text:Find the general solution of the nonhomogeneous equation y " - 3 y "+4 y'– 12y =e+ 2 -3x 1 1 it a) O y=C, e*+ C, cos( 2 x) + C, sin(2 x) - e* 10 1 1 e + 10 -3x b) O y=C, e*+C, cos( 2 x) + C, sin(2 x) + 6 1 c) O y=C, e*+ C, cos(2 x) + C, sin(2 x) 10 -2x 1 1 d) O y=C, e*+ C, cos( 2 x) + C, sin(2 x) ++ 10 1 e) O y=C, 2* + C, cos( 2 x) + C, sin( 2 x) –- - - 3 5 f) O None of the above.
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