Equilibrium stability
For y'=y(1-y), equilibria are 0 and 1. For 0<y<1, y'>0; for y>1, y'<0.
- Arrows point toward y=1 from both nearby sides.
- Apply the method to this new case and check the strongest alternative.
differential models, initial conditions, stability, and approximation
For y'=y(1-y), equilibria are 0 and 1. For 0<y<1, y'>0; for y>1, y'<0.
Pause. Find what matters. Then make your move.