Consider the Differential Equation $$\frac { d P ( t ) } { d t } = 0.4 P \left( 1 - \frac { P } { 900 } \right) - c$$

Short Answer

Consider the differential equation
$$\frac { d P ( t ) } { d t } = 0.4 P \left( 1 - \frac { P } { 900 } \right) - c$$ as a model for a fish population, where $t$ is measured in weeks and $c$ is a constant. For what values of $c$ does the fish population always die out?