plumiSecond order with constant coefficients: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on I.2 Second order with constant coefficients, 2019–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Second order with constant coefficients, as a list
- June 2025, Paper 1, Q17 (11 marks): (a) Show that during the subsequent motion the particle satisfies the differential equation . d d d d + + = 2 2 4 0 6 8 0 5 x x x t t Fully justify your answer.
- June 2024, Paper 1, Q18 (12 marks): In this question use g = 9.8 m s–2 Two light elastic strings each have one end attached to a small ball B of mass 0.5 kg The other ends of the strings are attac
- June 2024, Paper 2, Q19 (10 marks): Solve the differential equation d2y dx2 + 4 dy dx – 45y = 21e5x – 0.3x + 27x2 given that y = 37 225 and dy dx = 0 when x = 0 [10 marks]
- June 2023, Paper 1, Q15 (9 marks): Find the general solution of the differential equation d2y dx2 − 3dy dx − 4y = cos 2x + 5x [9 marks]
- November 2021, Paper 1, Q15 (13 marks): In this question use g = 9.8 m s−2 A particle P of mass m is attached to two light elastic strings, AP and BP. The other ends of the strings, A and B, are attac
- November 2020, Paper 2, Q13 (10 marks): Charlotte is trying to solve this mathematical problem: Find the general solution of the differential equation d2y dx2 + dy dx × 2y = 10e×2x Charlotte’s solutio
- June 2019, Paper 1, Q14 (11 marks): In this question use g = 10 m s−2 A light spring is attached to the base of a long tube and has a mass m attached to the other end, as shown in the diagram. The
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