IB skill practice

Use coupled differential models

Interpret simple systems of differential equations and equilibrium behaviour.

Paper 1, Paper 2 5 marks Difficulty 3

Use coupled differential models - visual radius check

For the coupled field \(\frac{dx}{dt}=2x-4y\), find the first component rate at \((x,y)=(5,1)\).

Worked practice: result and interpretation

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