The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable?
-$\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }$

Question

Quizplus · Accepted Answer

The Answer of The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable?
-$\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }$

The Autonomous Differential Equation Represents a Model for Population Growth dPdt=1−8P\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }dtdP​=1−8P

The Autonomous Differential Equation Represents a Model for Population Growth $\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }$