Which of these is the general solution of the second-order nonhomogeneous differential equation
and all capital letters are arbitrary real constants.
A) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t+B+(C t+
D) e^{-\frac{6}{5} t} $
B) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $
C) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $
D) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $
E) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $

Question

Which of these is the general solution of the second-order nonhomogeneous differential equation  
and all capital letters are arbitrary real constants.
A) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t+B+(C t+
D) e^{-\frac{6}{5} t} $ 
B) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $ 
C) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $ 
D) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $ 
E) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $

Quizplus · Accepted Answer

The Answer of Which of these is the general solution of the second-order nonhomogeneous differential equation  
and all capital letters are arbitrary real constants.
A) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t+B+(C t+
D) e^{-\frac{6}{5} t} $ 
B) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $ 
C) $ y(t)=C_{1}+C_{2} e^{\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $ 
D) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t^{2}+B t+C+\left(D t^{2}+E t+F\right) e^{-\frac{6}{5} t} $ 
E) $ y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+t^{2}\left(A+B e^{-\frac{6}{5} t}\right) $

Which of These Is the General Solution of the Second-Order y(t)=C1+C2e−65t+At+B+(Ct+D)e−65t y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t+B+(C t+D) e^{-\frac{6}{5} t} y(t)=C1​+C2​e−56​t+At+B+(Ct+D)e−56​t

Which of These Is the General Solution of the Second-Order $y(t)=C_{1}+C_{2} e^{-\frac{6}{5} t}+A t+B+(C t+D) e^{-\frac{6}{5} t}$