IB skill practice

Use Euler method for differential equations

Use step size and gradient information to approximate a solution value.

Paper 1, Paper 2 5 marks Difficulty 4

Use Euler method for differential equations - method focus

For a water-quality team differential model, Euler's method starts at \((0,3)\). The gradient there is 1.2 and the step size is 0.35. Find the next \(y\)-value. This version asks for the same mathematical quantity after confirming the method from the context. 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.