Which of the Following Are Solutions to the Homogeneous Second-Order $y_{1}=C e^{-\frac{4}{3} t^{2}}$

Multiple Choice

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

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