Which of These Is the General Solution of the Second-Order $y(t)=C_{1} \cos (8 t)+C_{2} \sin (8 t)+\left(A t^{2}+B t+C\right) \cos (8 t)$

Multiple Choice

Which of these is the general solution of the second-order nonhomogeneous differential equation
and all capital letters are arbitrary real constants.

A) $y(t) =C_{1} \cos (8 t) +C_{2} \sin (8 t) +\left(A t^{2}+B t+C\right) \cos (8 t)$
B) $y(t) =C_{1} \sin (8 t) +C_{2} \cos (8 t) +\left(A t^{2}+B t+C\right) \sin (8 t) +\left(D t^{2}+E t+F\right) \cos (8 t)$
C) $y(t) =C_{1} \sin (8 t) +C_{2} \cos (8 t) +(A t+B) \sin (8 t) +(C t+D) \cos (8 t)$
D) $y(t) =C_{1} e^{8 t}+C_{2} e^{-8 t}+(A t+B) \sin (8 t) +(C t+D) \cos (8 t)$
E) $y(t) =C_{1} e^{8 t}+C_{2} e^{-8 t}+(A t+B) \cos (8 t)$