IB skill practice

Solve first order differential equations

Solve separable or first-order differential equations and interpret constants.

Paper 1, Paper 2 5 marks Difficulty 3

Solve first order differential equations - visual diagram link

For \(\frac{dy}{dt}=0.4y\) with \(y(0)=4\), find \(y(2)\).

Worked practice: result and interpretation

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