plumiSecond order with constant coefficients: OCR A‑Level Further Maths questions
OCR 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 8 questions on Second order with constant coefficients, as a list
- June 2025, Pure Core 1, Q9 (9 marks): A pendulum comprises an object P of mass m kg and a string of length 7 m. One end of the string is attached to P and the other end is attached to a fixed point
- June 2025, Pure Core 2, Q9 (13 marks): When light hits a certain photo-sensitive cell, at time t = 0, there is an electrical response in the cell which is denoted by y (t) where both y and t are meas
- June 2024, Pure Core 2, Q8 (13 marks): A children’s play centre has two rooms, a room full of bouncy castles and a room full of ball pits. At any given instant, each child in the centre is playing ei
- June 2023, Pure Core 1, Q5 (6 marks): d y d y 5 (a) Find the general solution of the differential equation x 2 5 y 0 . [2] - + = d x 2 d 2 d y d y (b) Hence find the general solution of the differen
- June 2022, Pure Core 1, Q8 (13 marks): A biologist is studying the effect of pesticides on crops. On a certain farm pesticide is regularly applied to a particular crop which grows in soil. Over time,
- November 2021, Pure Core 1, Q11 (5 marks): The displacement of a door from its equilibrium (closed) position is measured by the angle, i radians, which the door makes with its closed position. The door c
- November 2020, Pure Core 2, Q5 (7 marks): A capacitor is an electrical component which stores charge. The value of the charge stored by the capacitor, in suitable units, is denoted by Q. The capacitor i
- June 2019, Pure Core 1, Q11 (13 marks): A particle is suspended in a resistive medium from one end of a light spring. The other end of the spring is attached to a point which is made to oscillate in a
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