Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is e y (t) = cie + czet – 3te + cos t – 2
Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is e y (t) = cie + czet – 3te + cos t – 2
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 linear, nonhomogeneous differential equation with constant coefficients whose solution is
-t
e
y (t) = cie' + cze2t – 3te + cost –
2
%3D
A) y" + 3y' + 2y = 3e + 3 cos t – 3 sint – 3e-t
B) y" – 3y' + 2y = 3e' + cost +3 sin t - 3e-t
%3D
C) y" + 3y' + 2y = 3tet + cost - 3 sint
D) y" – 2y – 3y = -3e + 3e-t
+ sin t
E) y" – 3y + 2y = -3el – cost +3 sin t – e-t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F948d3075-aac8-4f78-956d-a41c30501fa6%2F45b2fba9-39ea-4675-abda-9ae2b7a02fb7%2Fzlahmge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is
-t
e
y (t) = cie' + cze2t – 3te + cost –
2
%3D
A) y" + 3y' + 2y = 3e + 3 cos t – 3 sint – 3e-t
B) y" – 3y' + 2y = 3e' + cost +3 sin t - 3e-t
%3D
C) y" + 3y' + 2y = 3tet + cost - 3 sint
D) y" – 2y – 3y = -3e + 3e-t
+ sin t
E) y" – 3y + 2y = -3el – cost +3 sin t – e-t
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