IB skill practice

Analyse equilibrium and stability in differential equations

Classify equilibrium points and stability from differential equations.

Paper 1, Paper 2 5 marks Difficulty 4

Analyse equilibrium and stability in differential equations - visual stability phase line item

Case B7. For \(y^\prime=k(y-2)(5-y)\) with \(k>0\), enter the stable equilibrium.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.