Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze24 – 3te' + cos t 2 A) y" + 3y' + 2y = 3e + 3 cost – 3 sint – 3e-t B) y" – 3y' + 2y...

Extracted text: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze24 – 3te' + cos t 2 A) y" + 3y' + 2y = 3e + 3 cost – 3 sint – 3e-t B) y" – 3y' + 2y = 3e + cost + 3 sin t – 3e-t %3D C) y" + 3y' + 2y = 3te + cos t – 3 sint D) y" – 2y' – 3y = -3e + 3e-t + sint E) y" – 3y' + 2y = -3e – cos t + 3 sint – že-t