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) $y(t) =C_{1} e^{-2 t}+C_{1} e^{-3 t}+\frac{7}{2} t^{2}$
B) $y(t) =C_{1} e^{-2 t}+C_{1} e^{3 t}+\frac{7}{18}(3 t+1)$
C) $y(t) =C_{1} e^{2 t}+C_{1} e^{-3 t}+\frac{7}{36}(6 t+1)$
D) $y(t) =C_{1} e^{2 t}+C_{1} e^{-3 t}-\frac{7}{36}(6 t+1)$