Find the General Solution of the Differential Equation $y^{\prime \prime}+6 y^{\prime}+25 y=0$

Multiple Choice

Find the general solution of the differential equation $y^{\prime \prime}+6 y^{\prime}+25 y=0$ .

A) $y=e^{4 x}\left(k_{1} \sin 3 x+k_{2} \cos 3 x\right)$
B) $y=e^{-3 x}\left(k_{1} \sin 4 x+k_{2} \cos 4 x\right)$
C) $y=e^{3 x}\left(k_{1} \sin 4 x+k_{2} \cos 4 x\right)$
D) $y=e^{-4 x}\left(k_{1} \sin 3 x+k_{2} \cos 3 x\right)$