Consider This Second-Order Nonhomogeneous Differential Equation:

Which of These $Y(t)=A e^{-3 t}$

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) $Y(t) =A e^{-3 t}$
B) $Y(t) =e^{A t}$
C) $Y(t) =A e^{B t}$
D) $Y(t) =A+e^{-3 t}$
E) $Y(t) =A e^{-3 t}+B$