Differential equations: past paper questions
Real questions on differential equations
The newest 20 of 99 written questions. Open one to see it on the real paper.
- 9231/21 · October/November 2025 · Q4[10]
10-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/21 · October/November 2025 · Q7b[9]
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See it on the paper → - 9231/22 · October/November 2025 · Q5a[7]
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See it on the paper → - 9231/22 · October/November 2025 · Q5b[3]
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See it on the paper → - 9231/22 · October/November 2025 · Q7b[8]
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See it on the paper → - 9231/23 · October/November 2025 · Q4[10]
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See it on the paper → - 9231/23 · October/November 2025 · Q7b[9]
9-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/31 · October/November 2025 · Q3a[5]
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See it on the paper → - 9231/31 · October/November 2025 · Q3b[2]
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See it on the paper → - 9231/32 · October/November 2025 · Q7a[4]
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See it on the paper → - 9231/32 · October/November 2025 · Q7b[4]
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See it on the paper → - 9231/32 · October/November 2025 · Q7c[2]
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See it on the paper → - 9231/21 · May/June 2025 · Q5[10]
10-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/21 · May/June 2025 · Q7[10]
10-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/22 · May/June 2025 · Q5[10]
10-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/23 · May/June 2025 · Q4[10]
10-mark “Find” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/23 · May/June 2025 · Q7[9]
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See it on the paper → - 9231/31 · May/June 2025 · Q1a[3]
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See it on the paper → - 9231/31 · May/June 2025 · Q1b[2]
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See it on the paper → - 9231/33 · May/June 2025 · Q3a[4]
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What examiners said
Almost all knew how to approach this question and completed it to a high standard. There was some inaccuracy when solving linear equations to find the particular integral and some errors when substituting initial conditions. A few candidates gave expressions instead of equations as their answer.
— Examiner report, October/November 2023, 9231/21 Q4 (Cambridge)
Most candidates used the correct method to find the integrating factor, and, after multiplying both sides of the equation by their integrating factor, were able to attempt to integrate the RHS. Good candidates maintained accuracy throughout, particularly when applying their result from part (b) and substituting in the initial conditions. Most candidates remembered to add an arbitrary constant afte...
— Examiner report, October/November 2023, 9231/21 Q6(c) (Cambridge)
Most candidates used the correct method to find the integrating factor, and, after multiplying both sides of the equation by their integrating factor, were able to attempt to integrate the right-hand side. Strong candidates maintained accuracy throughout, particularly when integrating by parts twice and substituting in the initial conditions. Most candidates remembered to add an arbitrary constant...
— Examiner report, October/November 2023, 9231/22 Q4 (Cambridge)
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