IB skill practice

Solve separable differential equations

Separate variables, integrate, and apply initial conditions in differential equations.

Paper 1, Paper 2 5 marks Difficulty 3

Solve separable differential equations - visual marked input

Use the solution curve for \(\frac{dy}{dx}=5x\) or its separable companion with \(y(0)=5\). Find the requested value at \(x=2\).

Worked practice: result and interpretation

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