plumiDifferential equations: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 8.9 Differential equations, 2018–2025, 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 8 questions on Differential equations, as a list
- June 2025, Paper 2, Q16 (9 marks): In this question you must show detailed reasoning The population of puffins on a remote island is estimated to be P = 58.5, where P is measured in thousands of
- June 2024, Paper 2, Q16 (12 marks): In this question you must show detailed reasoning. Find the particular solution of the differential equation d = y 9 y , d x ( x 1 )( x 2 ) - + given that x 2 w
- June 2022, Paper 3, Q6 (8 marks): A hot drink is cooling. The temperature of the drink at time t minutes is T °C. The rate of decrease in temperature of the drink is proportional to ( T 20 ) . -
- November 2021, Paper 1, Q11 (11 marks): A balloon is being inflated. The balloon is modelled as a sphere with radius x cm at time t s. The 4 r volume V cm3 is given by V x3 . = 3 The rate of increase
- November 2021, Paper 3, Q10 (9 marks): 10 (a) Express ( in partial fractions. [3] 4 x 1 )( x 1 ) + + (b) A curve passes through the point (0, 2) and satisfies the differential equation d y y , = d x
- November 2020, Paper 3, Q7 (9 marks): 1 7 (a) Express x - as a single fraction. [1] + A x The population of fish in a lake is modelled by the differential equation d x x ( 400 x ) - d = t 400 where
- June 2019, Paper 1, Q15 (12 marks): A model for the motion of a small object falling through a thick fluid can be expressed using the differential equation d = v 9 8 . kv , - d t where v ms 1 - is
- June 2018, Paper 2, Q17 (12 marks): ^ h in partial fractions. 2 (i) Express x 8 x 9 - + 17 [5] ^ ^h h 2 x 1 x 2 + - (ii) Express y in terms of x given that ^ h 2 d y y x 8 x 9 - + and y = 16 when
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