Use Variation of Parameters to Find the General Solution of the Nonhomogeneous

Multiple Choice

Use variation of parameters to find the general solution of the nonhomogeneous differential equation

A) $y(t) =e^{2 t}\left(C_{1}+C_{2} t\right) +\frac{1}{16} e^{2 t}(\cos (4 t) -\sin (4 t) )$
B) $y(t) =e^{2 t}\left(C_{1}+C_{2} t\right) -\frac{1}{16} e^{2 t} \sin (4 t)$
C) $y(t) =e^{-2 t}\left(C_{1}+C_{2} t\right) -\frac{1}{16} e^{-2 t} \sin (4 t)$
D) $\left.y(t) =e^{-2 t}\left(C_{1}+C_{2} t\right) +\frac{1}{16} e^{-2 t} \cdot \cos (4 t) -\sin (4 t) \right)$