Which of These Is the General Solution of the Second-Order

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) $y(t) =C_{1} \cos \left(\frac{3}{1} t\right) +C_{2}\left(\frac{3}{1} t\right) +A \cos \left(\frac{3}{1} t\right) +(B t+C) \sin \left(\frac{3}{1} t\right)$
B) $y(t) =C_{1} \cos \left(\frac{3}{1} t\right) +C_{2}\left(\frac{3}{1} t\right) +(A t+B) \cos \left(\frac{3}{1} t\right) +\left(C t^{2}+D t+E\right) \sin \left(\frac{3}{1} t\right)$
C) $y(t) =C_{1} \cos \left(\frac{1}{3} t\right) +C_{2} \sin \left(\frac{1}{3} t\right) +(A t+B) \cos \left(\frac{1}{3} t\right) +\left(B t^{2}+D t+E\right) \sin \left(\frac{1}{3} t\right)$
D) $y(t) =C_{1} \cos \left(\frac{1}{3} t\right) +C_{2} \sin \left(\frac{1}{3} t\right) +A \cos \left(\frac{1}{3} t\right) +(B t+C) \sin \left(\frac{1}{3} t\right)$
E) $y(t) =C_{1} \cos \left(\frac{1}{3} t\right) +C_{2} \sin \left(\frac{1}{3} t\right) +\left(A t^{2}+B t+C\right) \cos \left(\frac{1}{3} t\right) +\left(D t^{2}+E t+F\right) \sin \left(\frac{1}{3} t\right)$