What Is the General Solution of the Third-Order Homogeneous Differential $y=C_{1}+C_{2} e^{2 t} \cos (4 t)+C_{3} e^{2 t} \sin (4 t)$

Multiple Choice

What is the general solution of the third-order homogeneous differential equation ?

A) $y=C_{1}+C_{2} e^{2 t} \cos (4 t) +C_{3} e^{2 t} \sin (4 t)$
B) $y=C_{1}+C_{2} e^{2 t} \cos (2 t) +C_{3} e^{2 t} \sin (2 t)$
C) $y=C_{1}+C_{2} e^{-2 t} \cos (2 t) +C_{3} e^{-2 t} \sin (2 t)$
D) $y=C_{1}+C_{2} e^{4 t} \cos (2 t) +C_{3} e^{4 t_{5} \sin (2 t) }$
E) $y=C_{1}+C_{2} e^{-4 t} \cos (2 t) +C_{3} e^{-4 t} \sin (2 t)$