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?

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The Answer of 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?

Consider the Differential Equation dP(t)dt=0.4P(1−P900)−c\frac { d P ( t ) } { d t } = 0.4 P \left( 1 - \frac { P } { 900 } \right) - cdtdP(t)​=0.4P(1−900P​)−c

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