Find the General Solution of the Differential Equation $y^{\prime \prime}+4 y^{\prime}+3 y=20 \cos x$

Multiple Choice

Find the general solution of the differential equation $y^{\prime \prime}+4 y^{\prime}+3 y=20 \cos x$ .

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