Which of the Following Is the General Solution of the Homogeneous

Multiple Choice

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) $y=C_{1} e^{-4 t} \sin (6 t) +C_{2} e^{-4 t} \cos (6 t) +C$