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 \cos (2 t)+B \sin (2 t)+C t+D $
B) $ \left(A t^{2}+B t+C\right) \cos (2 t)+\left(D t^{2}+E t+F\right) \sin (2 t)+G t+H $
C) $ A t^{2} \cos (2 t)+B t+C $
D) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t $
E) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t+F $

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 \cos (2 t)+B \sin (2 t)+C t+D $ 
B) $ \left(A t^{2}+B t+C\right) \cos (2 t)+\left(D t^{2}+E t+F\right) \sin (2 t)+G t+H $ 
C) $ A t^{2} \cos (2 t)+B t+C $ 
D) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t $ 
E) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t+F $

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 \cos (2 t)+B \sin (2 t)+C t+D $ 
B) $ \left(A t^{2}+B t+C\right) \cos (2 t)+\left(D t^{2}+E t+F\right) \sin (2 t)+G t+H $ 
C) $ A t^{2} \cos (2 t)+B t+C $ 
D) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t $ 
E) $ (A t+
B) \cos (2 t)+(C t+
D) \sin (2 t)+E t+F $

What Is the Form of a Particular Solution of the Following