Which of the Following Are Solutions to the Homogeneous Second-Order $y_{1}=-\frac{1}{2} \pi \sin (3 t)$

Multiple Choice

Which of the following are solutions to the homogeneous second-order differential equation
Select all that apply.

A) $y_{1}=-\frac{1}{2} \pi \sin (3 t)$
B) $y_{2}=e^{6 t} \cos (3 t)$
C) $y_{3}=2 e^{6 t}$
D) $y_{4}=5 e^{6 t}(\sin (3 t) +\cos (3 t) )$
E) $y_{5}=C e^{-6 t} \cos (3 t)$ , where $C$ is any real constant
F) $y_{6}=e^{-6 t} \cos (3 t)$