4. Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is e-t y (t) = cie' + c2e²2t – 3te' + cost - 2 A) y" +3y' + 2y = 3et + 3 cost – 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 – get
4. Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is e-t y (t) = cie' + c2e²2t – 3te' + cost - 2 A) y" +3y' + 2y = 3et + 3 cost – 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 – get
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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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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 = 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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