Find the General Solution of the Differential Equation $y^{\prime \prime}-4 y=8 e^{2 x}$

Multiple Choice

Find the general solution of the differential equation $y^{\prime \prime}-4 y=8 e^{2 x}$ .

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