Find the General Solution of the Differential Equation $y^{\prime \prime}+8 y^{\prime}+16 y=0$

Multiple Choice

Find the general solution of the differential equation $y^{\prime \prime}+8 y^{\prime}+16 y=0$ .

A) $y=k_{1} e^{-4 x}+k_{2} e^{-4 x}$
B) $y=k_{1} e^{4 x}+k_{2} e^{4 x}$
C) $y=k_{1} e^{-4 x}+k_{2} e^{4 x}$
D) $y=k_{1} e^{-4 x}+k_{2} x e^{-4 x}$