Which of the Following Is the General Solution of the Homogeneous

Multiple Choice

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) $y=C_{1} t e^{-\frac{3}{4} t}+C_{2}$