Which of the following is the general solution of the homogeneous second-order differential equation
are arbitrary real constants.
A) $ y=C_{1} e^{4 t} \sin (6 t)+C_{2} e^{4 t} \cos (6 t) $
B) $ y=e^{-4 t}\left(C_{1} \sin (6 t)+C_{2} \cos (6 t)\right) $
C) $ y=C_{1} e^{4 t} \cos (6 t)+C_{2} e^{4 t} \sin (6 t)+C $
D) $ y=e^{6 t}(\sin (4 t)+\cos (6 t))+C $
E) $ y=C_{1} e^{-4 t} \sin (6 t)+C_{2} e^{-4 t} \cos (6 t)+C $

Question

Which of the following is the general solution of the homogeneous second-order differential equation  
are arbitrary real constants.
A) $ y=C_{1} e^{4 t} \sin (6 t)+C_{2} e^{4 t} \cos (6 t) $ 
B) $ y=e^{-4 t}\left(C_{1} \sin (6 t)+C_{2} \cos (6 t)\right) $ 
C) $ y=C_{1} e^{4 t} \cos (6 t)+C_{2} e^{4 t} \sin (6 t)+C $ 
D) $ y=e^{6 t}(\sin (4 t)+\cos (6 t))+C $ 
E) $ y=C_{1} e^{-4 t} \sin (6 t)+C_{2} e^{-4 t} \cos (6 t)+C $

Quizplus · Accepted Answer

The Answer of Which of the following is the general solution of the homogeneous second-order differential equation  
are arbitrary real constants.
A) $ y=C_{1} e^{4 t} \sin (6 t)+C_{2} e^{4 t} \cos (6 t) $ 
B) $ y=e^{-4 t}\left(C_{1} \sin (6 t)+C_{2} \cos (6 t)\right) $ 
C) $ y=C_{1} e^{4 t} \cos (6 t)+C_{2} e^{4 t} \sin (6 t)+C $ 
D) $ y=e^{6 t}(\sin (4 t)+\cos (6 t))+C $ 
E) $ y=C_{1} e^{-4 t} \sin (6 t)+C_{2} e^{-4 t} \cos (6 t)+C $

Which of the Following Is the General Solution of the Homogeneous