Use variation of parameters to find the general solution of the nonhomogeneous differential equation
A) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $
B) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} t e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $
C) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 e^{t} \ln \left(1+4 t^{2}\right)+2 t e^{t} \tan ^{-1} 2 t\right) $
D) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 t e^{t} \ln \left(1+4 t^{2}\right)+2 e^{t} \tan ^{-1} 2 t\right) $

Question

Use variation of parameters to find the general solution of the nonhomogeneous differential equation  
A) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $ 
B) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} t e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $ 
C) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 e^{t} \ln \left(1+4 t^{2}\right)+2 t e^{t} \tan ^{-1} 2 t\right) $ 
D) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 t e^{t} \ln \left(1+4 t^{2}\right)+2 e^{t} \tan ^{-1} 2 t\right) $

Quizplus · Accepted Answer

The Answer of Use variation of parameters to find the general solution of the nonhomogeneous differential equation  
A) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $ 
B) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-\frac{1}{8} t e^{t} \ln \left(1+4 t^{2}\right)+\frac{1}{2} e^{t} \tan ^{-1} 2 t\right) $ 
C) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 e^{t} \ln \left(1+4 t^{2}\right)+2 t e^{t} \tan ^{-1} 2 t\right) $ 
D) $ \left.y(t)=C_{1} e^{t}+C_{1} t e^{t}-8 t e^{t} \ln \left(1+4 t^{2}\right)+2 e^{t} \tan ^{-1} 2 t\right) $

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