There Is a Differential Equation That Is a Mathematical Model $\frac { \mathrm { dP } } { \mathrm { dt } } = \mathrm { kP } ( 100,000 - \mathrm { P } ) ?$

True/False

There is a differential equation that is a mathematical model of the situation in which the time rate of change in the population of a certain organism is proportional to the product of the current population and the difference between the current population and the limiting factor of 100,000. Is this the equation $\frac { \mathrm { dP } } { \mathrm { dt } } = \mathrm { kP } ( 100,000 - \mathrm { P } ) ?$