Which of the following is the general solution of the homogeneous second-order differential equation
arbitrary real constants.
A) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} t e^{-\frac{3}{4} t} $
B) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} e^{\frac{3}{4} t} $
C) $ y=C_{1} e^{\frac{3}{4} t}+C_{2} t e^{\frac{3}{4} t} $
D) $ y=C_{1} e^{-\frac{4}{3} t}+C_{2} t e^{-\frac{4}{3} t} $
E) $ y=C_{1} t e^{-\frac{3}{4} t}+C_{2} $

Question

Which of the following is the general solution of the homogeneous second-order differential equation 
 arbitrary real constants.
A) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} t e^{-\frac{3}{4} t} $ 
B) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} e^{\frac{3}{4} t} $ 
C) $ y=C_{1} e^{\frac{3}{4} t}+C_{2} t e^{\frac{3}{4} t} $ 
D) $ y=C_{1} e^{-\frac{4}{3} t}+C_{2} t e^{-\frac{4}{3} t} $ 
E) $ y=C_{1} t e^{-\frac{3}{4} t}+C_{2} $

Quizplus · Accepted Answer

The Answer of Which of the following is the general solution of the homogeneous second-order differential equation 
 arbitrary real constants.
A) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} t e^{-\frac{3}{4} t} $ 
B) $ y=C_{1} e^{-\frac{3}{4} t}+C_{2} e^{\frac{3}{4} t} $ 
C) $ y=C_{1} e^{\frac{3}{4} t}+C_{2} t e^{\frac{3}{4} t} $ 
D) $ y=C_{1} e^{-\frac{4}{3} t}+C_{2} t e^{-\frac{4}{3} t} $ 
E) $ y=C_{1} t e^{-\frac{3}{4} t}+C_{2} $

Which of the Following Is the General Solution of the Homogeneous