plumiSecond order with constant coefficients: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 9.2 Second order with constant coefficients, 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 12 questions on Second order with constant coefficients, as a list
- June 2025, Core Pure 1, Q4 (8 marks): (a) Determine the general solution of the differential equation d d d d e 2 2 3 4 4 2 y x y x y x giving your answer in the form y = f (x) (5) Given that y = 5
- June 2024, Core Pure 2, Q6 (14 marks): The motion of a particle P along the x-axis is modelled by the differential equation 2 5 2 4 12 2 2 d d d d x t x t x t where P is x metres from the origin O at
- June 2024, Further Pure 1, Q10 (12 marks): The motion of a particle P along the x-axis is modelled by the differential equation t x t t t x t t x t t 2 2 2 3 2 1 2 1 8 d d d d e (I) where P has displac
- June 2023, Core Pure 2, Q9 (14 marks): A patient is treated by administering an antibiotic intravenously at a constant rate for some time. Initially there is none of the antibiotic in the patient. At
- June 2023, Further Pure 1, Q2 (16 marks): The vertical height, h m, above horizontal ground, of a passenger on a fairground ride, t seconds after the ride starts, where t 5, is modelled by the differe
- June 2022, Core Pure 1, Q10 (14 marks): θ Figure 3 The motion of a pendulum, shown in Figure 3, is modelled by the differential equation 2 2 d 1 9 cos3 d 2 θ θ t t + = where θ is the angle, in radians
- June 2022, Further Pure 1, Q9 (13 marks): A particle P moves along a straight line. At time t minutes, the displacement, x metres, of P from a fixed point O on the line is modelled by the differential e
- November 2021, Core Pure 1, Q6 (12 marks): A tourist decides to do a bungee jump from a bridge over a river. One end of an elastic rope is attached to the bridge and the other end of the elastic rope is
- November 2020, Core Pure 1, Q5 (17 marks): Two compounds, X and Y, are involved in a chemical reaction. The amounts in grams of these compounds, t minutes after the reaction starts, are x and y respectiv
- November 2020, Core Pure 2, Q3 (14 marks): A scientist is investigating the concentration of antibodies in the bloodstream of a patient following a vaccination. The concentration of antibodies, x, measur
- June 2019, Core Pure 2, Q5 (12 marks): An engineer is investigating the motion of a sprung diving board at a swimming pool. Let E be the position of the end of the diving board when it is at rest in
- June 2019, Further Pure 1, Q6 (17 marks): The concentration of a drug in the bloodstream of a patient, t hours after the drug has been administered, where t - 6, is modelled by the differential equation
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