Consider This Second-Order Nonhomogeneous Differential Equation:

Which of These $Y(t)=A$

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 used? Here, all capital letters represent arbitrary real constants.

A) $Y(t) =A$
B) $Y(t) =A e^{-4 t} \sin (4 t) +B e^{-4 t} \cos (4 t)$
C) $Y(t) =A e^{4 t} \sin (-4 t) +B e^{4 t} \cos (-4 t)$
D) $Y(t) =A \sin (4 t) +B \cos (4 t)$