Consider the differential equation $\frac { d P ( t ) } { d t } = 0.6 P \left( 1 - \frac { P } { 300 } \right) - c$ 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?

Question

Quizplus · Accepted Answer

The Answer of Consider the differential equation $\frac { d P ( t ) } { d t } = 0.6 P \left( 1 - \frac { P } { 300 } \right) - c$ 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=0.6P(1−P300)−c\frac { d P ( t ) } { d t } = 0.6 P \left( 1 - \frac { P } { 300 } \right) - cdtdP(t)​=0.6P(1−300P​)−c

Consider the Differential Equation $\frac { d P ( t ) } { d t } = 0.6 P \left( 1 - \frac { P } { 300 } \right) - c$