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) $(A t+B) e^{5 t}+(C t+D) e^{10 t}$
B) $A e^{5 t} \sin (5 t) +B e^{5 t} \cos (5 t) +C e^{10 t}$
C) $e^{5 t}(A \sin (5 t) +B \cos (5 t) ) +C e^{10 t}+D t$
D) $A \sin (5 t) +B \cos (5 t) +(C t+D) e^{10 t}$