Logistic Models Question 1

Let $k$ be a positive constant. Which of the following is a logistic differential equation?

\dfrac{dy}{dt}=kt

\dfrac{dy}{dt}=kt(1-t)

\dfrac{dy}{dt}=ky(1-t)

\dfrac{dy}{dt}=ky(1-y)

Approach

A logistic differential equation has the general form:

\frac{dP}{dt}=kP\left(1-\frac{P}{L}\right)

Where $k$ and $L$ are constants.

The last choice satisfies this with $L=1$ .