IB skill practice

Solve separable differential equations

Separate variables, integrate, and use an initial condition in applied models.

Paper 1, Paper 2 5 marks Difficulty 5

Solve separable differential equations - method focus

A solar farm model satisfies \(\frac{dy}{dx}=5x\) and \(y(0)=6\). Find \(y(4)\). Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

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