A Level Further Maths

A Level Further Maths Differential Equations Exam Questions

Free A Level Further Maths exam questions on Differential Equations, with full model answers. Covers first order linear, second order homogeneous, second order non-homogeneous, coupled, modelling.

Differential Equations exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Further Maths Differential Equations

Differential Equations is part of Pure Maths in A Level Further Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • First order Integrating factors.
  • Second order Auxiliary equations and particular integrals.
  • Modelling Population and oscillation models.

Common mistakes in Differential Equations

  • Wrong integrating factor.
  • Missing the complementary function.

Try two Differential Equations exam-style questions

1. Give the integrating factor for y' + 2y = x. (1 mark)

Show the mark scheme answer

e²ˣ

2. What are the roots of the auxiliary equation m² + 4 = 0? (1 mark)

Show the mark scheme answer

±2i

Differential Equations FAQs

Which exam boards include Differential Equations?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths.

Is Differential Equations pure, mechanics or statistics?

Differential Equations is part of Pure Maths.

How should I use these Differential Equations questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.