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 - technology-output check

For a library network differential model, Euler's method starts at \((0,6)\). The gradient there is 1.8 and the step size is 0.3. Find the next \(y\)-value. 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.