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 e^{-4 t}+B e^{4 t} $
B) $ \left(A t^{2}+B t+C\right)\left(e^{-4 t}+e^{4 t}\right) $
C) $ \left(A t^{2}+B t+C\right) e^{-4 t}+\left(D t^{2}+E t+F\right) e^{4 t} $
D) $ A e^{4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{-4 t} $
E) $ A e^{-4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{4 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 e^{-4 t}+B e^{4 t} $ 
B) $ \left(A t^{2}+B t+C\right)\left(e^{-4 t}+e^{4 t}\right) $ 
C) $ \left(A t^{2}+B t+C\right) e^{-4 t}+\left(D t^{2}+E t+F\right) e^{4 t} $ 
D) $ A e^{4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{-4 t} $ 
E) $ A e^{-4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{4 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 e^{-4 t}+B e^{4 t} $ 
B) $ \left(A t^{2}+B t+C\right)\left(e^{-4 t}+e^{4 t}\right) $ 
C) $ \left(A t^{2}+B t+C\right) e^{-4 t}+\left(D t^{2}+E t+F\right) e^{4 t} $ 
D) $ A e^{4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{-4 t} $ 
E) $ A e^{-4 t}+\left(B t^{3}+C t^{2}+D t+E\right) e^{4 t} $

What Is the Form of a Particular Solution of the Following