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Numerical solution of differential equations: AQA A‑Level Further Maths questions

AQA A-Level Further Maths past-paper questions on J.2 Numerical solution of differential equations, 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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  1. Q6

    June 2025 · Paper 2

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  2. Q9

    June 2024 · Paper 2

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All 4 questions on Numerical solution of differential equations, as a list
  1. June 2025, Paper 2, Q6 (3 marks): A curve passes through the point ( ) 2, k , where 1 k > The curve satisfies the differential equation 2 d 3 d y x y x xy − = Using Euler’s step by step method o
  2. June 2024, Paper 2, Q9 (4 marks): A curve passes through the point (–2, 4.73) and satisfies the differential equation dy dx = y2 – x2 2x + 3y Use Euler’s step by step method once, and then the m
  3. June 2022, Paper 2, Q9 (14 marks): (a) A curve passes through the point (5, 12.3) and satisfies the differential equation dy dx = (x2 − 9) 1 2 + 2xy x2 − 9 x > 3 Use Euler’s step by step method o
  4. November 2021, Paper 1, Q8 (6 marks): A particle of mass 4 kg moves horizontally in a straight line. At time t seconds the velocity of the particle is v m s−1 The following horizontal forces act on

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