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) $(A t+B) e^{2 t} \sin (2 t)$
B) $A e^{2 t} \sin (2 t) +B e^{2 t} \cos (2 t)$
C) $A e^{2 t} \sin (2 t)$
D) $(A t+B) e^{2 t} \sin (2 t) +(C t+D) e^{2 t} \cos (2 t)$
E) $(A t+B) e^{2 t}(\sin (2 t) +\cos (2 t) )$