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' +...

Extracted 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