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^{2 t} \sin (2 t) $
B) $ A e^{2 t} \sin (2 t)+B e^{2 t} \cos (2 t) $
C) $ A e^{2 t} \sin (2 t) $
D) $ (A t+
B) e^{2 t} \sin (2 t)+(C t+
D) e^{2 t} \cos (2 t) $
E) $ (A t+
B) e^{2 t}(\sin (2 t)+\cos (2 t)) $

Question

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^{2 t} \sin (2 t) $ 
B) $ A e^{2 t} \sin (2 t)+B e^{2 t} \cos (2 t) $ 
C) $ A e^{2 t} \sin (2 t) $ 
D) $ (A t+
B) e^{2 t} \sin (2 t)+(C t+
D) e^{2 t} \cos (2 t) $ 
E) $ (A t+
B) e^{2 t}(\sin (2 t)+\cos (2 t)) $

Quizplus · Accepted Answer

The Answer of 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^{2 t} \sin (2 t) $ 
B) $ A e^{2 t} \sin (2 t)+B e^{2 t} \cos (2 t) $ 
C) $ A e^{2 t} \sin (2 t) $ 
D) $ (A t+
B) e^{2 t} \sin (2 t)+(C t+
D) e^{2 t} \cos (2 t) $ 
E) $ (A t+
B) e^{2 t}(\sin (2 t)+\cos (2 t)) $

What Is the Form of a Particular Solution of the Following