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} e^{-4 t}+C_{2} e^{\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $
B) $ y(t)=C_{1} e^{-4 t}+C_{2} e^{\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $
C) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $
D) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $

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} e^{-4 t}+C_{2} e^{\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $ 
B) $ y(t)=C_{1} e^{-4 t}+C_{2} e^{\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $ 
C) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $ 
D) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $

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} e^{-4 t}+C_{2} e^{\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $ 
B) $ y(t)=C_{1} e^{-4 t}+C_{2} e^{\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $ 
C) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} $ 
D) $ y(t)=C_{1} e^{4 t}+C_{2} e^{-\frac{t}{4}}+(A t+
B) e^{-4 t}+C e^{4 t}+\mathrm{D} e^{5 t} $

Which of These Is the General Solution of the Second-Order y(t)=C1e−4t+C2et4+Ae−4t+Be4t+Ce5t y(t)=C_{1} e^{-4 t}+C_{2} e^{\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t} y(t)=C1​e−4t+C2​e4t​+Ae−4t+Be4t+Ce5t

Which of These Is the General Solution of the Second-Order $y(t)=C_{1} e^{-4 t}+C_{2} e^{\frac{t}{4}}+A e^{-4 t}+B e^{4 t}+C e^{5 t}$