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