What Is the Form of a Particular Solution of the Following

Multiple Choice

What is the form of a particular solution of the following nonhomogeneous differential equation?-

All capital letters in the choices represent arbitrary real constants.

A) $A e^{-4 t}+B e^{4 t}$
B) $\left(A t^{2}+B t+C\right) \left(e^{-4 t}+e^{4 t}\right)$
C) $\left(A t^{2}+B t+C\right) e^{-4 t}+\left(D t^{2}+E t+F\right) e^{4 t}$
D) $A e^{4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{-4 t}$
E) $A e^{-4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{4 t}$