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? = P(P - 3)

Question

What will be an ideal response?

Answer 1

 = P(P - 3) has a stable equilibrium at P = 0 and an unstable equilibrium at P = 3;