Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1eʻ + cze&t – 3te' + cos t A) y" +3y' + 2y = 3e' + 3 cos t – 3 sint – 3e-t B) y" – 3y' + 2y = 3e + cos t + 3sint – 3e-t C) y" + 3y + 2y = 3te' + cos t – 3 sint D) y" – 2y – 3y = -3e + 3e-t + sin t E) y" – 3y + 2y = -3e cos t + 3 sint –že-t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is
y (t) = c1e' + cze2t – 3te' + cos t
A) y" + 3y' + 2y = 3e + 3 cos t – 3 sint – 3e-t
B) y" – 3y' + 2y = 3e' + cos t + 3 sint – 3e-t
C) y" + 3y' + 2y = 3te + cost – 3 sin t
%3D
D) y" – 2y – 3y = -3e + 3e-t + sint
E) y" – 3y' + 2y = -3e – cost +3 sint – že-
Transcribed Image Text:4. Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze2t – 3te' + cos t A) y" + 3y' + 2y = 3e + 3 cos t – 3 sint – 3e-t B) y" – 3y' + 2y = 3e' + cos t + 3 sint – 3e-t C) y" + 3y' + 2y = 3te + cost – 3 sin t %3D D) y" – 2y – 3y = -3e + 3e-t + sint E) y" – 3y' + 2y = -3e – cost +3 sint – že-
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