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The Autonomous Differential Equation Represents a Model for Population Growth dPdt=18P\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }

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Essay

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?
- dPdt=18P\frac { \mathrm { dP } } { \mathrm { dt } } = 1 - 8 \mathrm { P }

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