Which of the following is the general solution of the homogeneous second-order differential equation
are arbitrary real constants.
A) $ y=C\left(\cos \frac{t}{3}+\sin \frac{t}{3}\right) $
B) $ y=C_{1} \cos (3 t)+C_{2} \sin (3 t) $
C) $ y=C(\cos (3 t)+\sin (3 t)) $
D) $ y=C_{1} \cos \left(\frac{t}{3}\right)+C_{2} \sin \left(\frac{t}{3}\right) $
E) $ y=\cos \left(\frac{t}{3}\right)+\sin \left(\frac{t}{3}\right)+C t $
F) $ y=\cos (3 t)+\sin (3 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\left(\cos \frac{t}{3}+\sin \frac{t}{3}\right) $ 
B) $ y=C_{1} \cos (3 t)+C_{2} \sin (3 t) $ 
C) $ y=C(\cos (3 t)+\sin (3 t)) $ 
D) $ y=C_{1} \cos \left(\frac{t}{3}\right)+C_{2} \sin \left(\frac{t}{3}\right) $ 
E) $ y=\cos \left(\frac{t}{3}\right)+\sin \left(\frac{t}{3}\right)+C t $ 
F) $ y=\cos (3 t)+\sin (3 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\left(\cos \frac{t}{3}+\sin \frac{t}{3}\right) $ 
B) $ y=C_{1} \cos (3 t)+C_{2} \sin (3 t) $ 
C) $ y=C(\cos (3 t)+\sin (3 t)) $ 
D) $ y=C_{1} \cos \left(\frac{t}{3}\right)+C_{2} \sin \left(\frac{t}{3}\right) $ 
E) $ y=\cos \left(\frac{t}{3}\right)+\sin \left(\frac{t}{3}\right)+C t $ 
F) $ y=\cos (3 t)+\sin (3 t)+C $

Which of the Following Is the General Solution of the Homogeneous