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

Differential Equations Question

Extracted text: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is -t e y (t) = cie' + cze2t – 3te + cost – 2 %3D A) y" + 3y' + 2y = 3e + 3 cos t – 3 sint – 3e-t B) y" – 3y' + 2y = 3e' + cost +3 sin t - 3e-t %3D C) y" + 3y' + 2y = 3tet + cost - 3 sint D) y" – 2y – 3y = -3e + 3e-t + sin t E) y" – 3y + 2y = -3el – cost +3 sin t – e-t