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Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = cie' + cze²24 – 3te' + cost - 2

Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = cie' + cze²24 – 3te' + cost - 2

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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Question
Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = cie' + cze24 – 3te' + cost - 2 A) y" +3y + 2y = 3et + 3 cos t – 3 sin t – 3e-t B) y" – 3y' + 2y = 3e' + cos t + 3 sin t – 3e-t C) y" + 3y' + 2y = 3te² + 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) = cie' + cze24 – 3te' + cost - 2 A) y" +3y + 2y = 3et + 3 cos t – 3 sin t – 3e-t B) y" – 3y' + 2y = 3e' + cos t + 3 sin t – 3e-t C) y" + 3y' + 2y = 3te² + 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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