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' +...

Extracted 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