The number of antibodies \(y\) in a patient's bloodstream at time \(t\) is increasing to a logistic differential equation. Which of the following could be the differential equation?

Summary Submit

A logistic differential equation has the general form:

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

The last answer choice reflects this:

$$ \dfrac{dy}{dt}=0.025y(5000-y) $$ $$ \dfrac{dy}{dt}=125y(1-\frac{y}{5000}) $$