Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze2t – 3te' + cos t 2 A) y" + 3y' + 2y = 3e + 3 cost – 3 sin t – 3et B) y" – 3y' + 2y...

Extracted text: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y (t) = c1e' + cze2t – 3te' + cos t 2 A) y" + 3y' + 2y = 3e + 3 cost – 3 sin t – 3et B) y" – 3y' + 2y = 3e' + cost +3 sint – 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 – cost + 3 sint – žet