Mathematics

Problem

The rate at which a population

P(t)

changes is directly proportional to the current population. Which differential equation best expresses this relationship, where

k

is an unknown constant? a)

\dfrac{dP}{dt}=k

\dfrac{dP}{dt}=kP^{2}

\dfrac{dP}{dt}=kP

\dfrac{dP}{dt}=\dfrac{k}{P}