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Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = cie' + cze²2t – 3te' + cos t

Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = cie' + cze²2t – 3te' + cos t

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 linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze²t – 3te' + cost - A) y" + 3y' + 2y = 3et + 3 cos t – 3 sin t – 3e-t B) y" – 3y' + 2y = 3et + cos t + 3 sin t – 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 sin t – že-t
Transcribed Image Text:Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze²t – 3te' + cost - A) y" + 3y' + 2y = 3et + 3 cos t – 3 sin t – 3e-t B) y" – 3y' + 2y = 3et + cos t + 3 sin t – 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 sin t – že-t
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