Consider the Second-Order Homogeneous Differential Equation
What Is $y=C_{1} e^{-4 t}+C_{2} e^{-8 t}$

Multiple Choice

Consider the second-order homogeneous differential equation
What is the general solution of this differential equation? Here, C, C₁ , and C₂ are arbitrary real constants.

A) $y=C_{1} e^{-4 t}+C_{2} e^{-8 t}$
B) $y=C_{1} e^{4 t}+C_{2} e^{8 t}$
C) $y=C_{1} e^{t}+C_{2} e^{32 t}$
D) $y=C_{1} e^{-t}+C_{2} e^{-32 t}$
E) $y=C_{1} e^{4 t}+C_{2} e^{-32 t}$