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}} $.

Question

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}} $.

Quizplus · Accepted Answer

The Answer of 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}} $.

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