What is the general solution of the third-order homogeneous differential equation
A) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $
B) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $.
C) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $
D) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $.
E) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} e^{-4 t} $

Question

What is the general solution of the third-order homogeneous differential equation 
A) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $ 
B) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $. 
C) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $ 
D) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $. 
E) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} e^{-4 t} $

Quizplus · Accepted Answer

The Answer of What is the general solution of the third-order homogeneous differential equation 
A) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $ 
B) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} $. 
C) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $ 
D) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t} $. 
E) $ y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} e^{-4 t} $

What Is the General Solution of the Third-Order Homogeneous Differential y=C1e−4t+C2te−4t+C3t2e−4t+C4 y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4} y=C1​e−4t+C2​te−4t+C3​t2e−4t+C4​

What Is the General Solution of the Third-Order Homogeneous Differential $y=C_{1} e^{-4 t}+C_{2} t e^{-4 t}+C_{3} t^{2} e^{-4 t}+C_{4}$