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 Cauchy Euler differential equation

A) $y(t) =C_{1} e^{-2 t}+C_{1} e^{-3 t}-\frac{1}{t}$
B) $y(t) =C_{1} e^{2 t}+C_{1} e^{3 t}-\frac{1}{t}$
C) $y(t) =C_{1} t^{2}+C_{1} t^{3}+\frac{6}{5 t^{2}}$
D) $y(t) =C_{1} t^{2}+C_{1} t^{3}+\frac{1}{20 t^{2}}$
E) $y(t) =C_{1} t^{2}+C_{1} t^{3}+\frac{1}{20 t^{2}}$ .