Which of the following is a solution to the autonomous equation y′=y(1−y)y' = y(1-y)y′=y(1−y)?
y(t)=11+Ce−ty(t) = \frac{1}{1+Ce^{-t}}y(t)=1+Ce−t1
y(t)=Ce−ty(t) = Ce^{-t}y(t)=Ce−t
y(t)=11−Cety(t) = \frac{1}{1-Ce^t}y(t)=1−Cet1
y(t)=1+Cety(t) = 1 + Ce^ty(t)=1+Cet