Consider This Second-Order Nonhomogeneous Differential Equation:

Which of These $Y(t)=\left(e^{-6 t}+e^{-2 t}\right) \cdot(A t+B)$

Multiple Choice

Consider this second-order nonhomogeneous differential equation:

Which of these is a suitable form of a particular solution Y(t) of the nonhomogeneous differential equation if the method of undetermined coefficients is to be used? Here, all capital letters represent arbitrary real constants.

A) $Y(t) =\left(e^{-6 t}+e^{-2 t}\right) \cdot(A t+B)$
B) $Y(t) =A t+B$
C) $Y(t) =A t$
D) $Y(t) =A t+e^{-6 t}+e^{-2 t}$