Cambridge IGCSE Question Simulator

AS & A Level Further Mathematics (9231)

Differential equations Banker

18 questions · about 8% of the marks we indexed · examined in 9 of 9 sessions.

Questions by year

2026

  • 2026 May/June · Paper 22 · Q3 (b)7 marksFirst order: integrating factor
  • 2026 May/June · Paper 22 · Q610 marksSecond order: constant coefficients

2025

  • 2025 Oct/Nov · Paper 22 · Q5 (a, b)10 marksLong-term behaviour · Second order: constant coefficients
  • 2025 Oct/Nov · Paper 22 · Q7 (b)8 marksFirst order: integrating factor
  • 2025 May/June · Paper 22 · Q510 marksSecond order: constant coefficients
  • 2025 May/June · Paper 22 · Q710 marksFirst order: integrating factor

2024

  • 2024 Oct/Nov · Paper 22 · Q510 marksSecond order: constant coefficients
  • 2024 Oct/Nov · Paper 22 · Q7 (b)7 marksFirst order: integrating factor
  • 2024 May/June · Paper 22 · Q6 (b)10 marksSecond order: constant coefficients
  • 2024 May/June · Paper 22 · Q7 (b)10 marksFirst order: integrating factor

2023

  • 2023 Oct/Nov · Paper 22 · Q49 marksFirst order: integrating factor
  • 2023 Oct/Nov · Paper 22 · Q8 (a, b)14 marksSecond order: constant coefficients · Substitution to reduce a DE
  • 2023 May/June · Paper 22 · Q27 marksSubstitution to reduce a DE
  • 2023 May/June · Paper 22 · Q611 marksSecond order: constant coefficients

2022

  • 2022 Oct/Nov · Paper 22 · Q49 marksFirst order: integrating factor
  • 2022 Oct/Nov · Paper 22 · Q8 (a, b)14 marksSecond order: constant coefficients · Substitution to reduce a DE
  • 2022 May/June · Paper 22 · Q3 (a, b)8 marksLong-term behaviour · Second order: constant coefficients
  • 2022 May/June · Paper 22 · Q610 marksSubstitution to reduce a DE

Find the full paper on the official Cambridge past-papers page or ask your school. “Paper 42” means Paper 4, variant 2.

Similar questions

Questions that test the same subtopic in different years. Practise them together to master one skill.

Second order: constant coefficients Banker9 questions · 9/9 sessions
First order: integrating factor 7 questions · 7/9 sessions
Substitution to reduce a DE 4 questions · 4/9 sessions
Long-term behaviour Rare2 questions · 2/9 sessions

Subtopics

SubtopicMarks indexedSessions
Second order: constant coefficients Banker849/9
First order: integrating factor 607/9
Substitution to reduce a DE 254/9
Long-term behaviour Rare52/9

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