Which of These Is the General Solution of the Second-Order $y(t)=C_{1} e^{-\frac{9}{2} t}+C_{2} t e^{-\frac{9}{2} t}+\mathrm{A} t^{2}$

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) $y(t) =C_{1} e^{-\frac{9}{2} t}+C_{2} t e^{-\frac{9}{2} t}+\mathrm{A} t^{2}$
B) $y(t) =e^{-\frac{9}{2} t}\left(A t^{2}+B t+C\right) +C_{1}$
C) $y(t) =e^{\frac{9}{2} t}\left(t+C_{1}\right) +A t^{2}+B t+C$
D) $y(t) =e^{-\frac{9}{2} t}\left(C_{1}+C_{2} t\right) +A t^{2}+B t+C$
E) $y(t) =C_{1} e^{\frac{9}{2} t}+C_{2} t e^{\frac{9}{2} t}+A t^{2}+B t$