Let $k$ be a positive constant. Which of the following is a logistic differential equation?
(A) $\frac { d y } { d t } = k t$
(B) $\frac { d y } { d t } = k y$
(C) $\frac { d y } { d t } = k t ( 1 - t )$
(D) $\frac { d y } { d t } = k y ( 1 - t )$
(E) $\frac { d y } { d t } = k y ( 1 - y )$