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) $A e^{9 t}+B e^{64 t}$
B) $(A t+B) e^{9 t}+(C t+D) e^{64 t}$
C) $A\left(e^{9 t}+e^{64 t}\right)$
D) $A t\left(e^{9 t}+e^{64 t}\right)$