IB skill practice

Use differential equations in growth models

Solve and interpret differential equation models for growth and decay.

Paper 1, Paper 2 5 marks Difficulty 4

Use differential equations in growth models - visual endpoint link

For \(\frac{dP}{dt}=0.5P\) with \(P(0)=4\), find \(P(4)\).

Worked practice: result and interpretation

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