plumiFirst order: integrating factor: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 9.1 First order: integrating factor, 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 9 questions on First order: integrating factor, as a list
- June 2025, Core Pure 1, Q8 (12 marks): A rambler starts a walk at the bottom of a hill at 10 am. The rambler walks all the way to the top of the hill and then turns around and walks back down to the
- June 2025, Further Pure 1, Q7 (11 marks): The concentration, P mg m –3, of a pollutant in a reservoir, t days after the pollutant entered the reservoir, is modelled by the differential equation 1 4 1 2
- June 2024, Core Pure 1, Q5 (9 marks): A raindrop falls from rest from a cloud. The velocity, v m s –1 vertically downwards, of the raindrop, t seconds after the raindrop starts to fall, is modelled
- June 2023, Core Pure 1, Q6 (12 marks): Water is flowing into and out of a large tank. Initially the tank contains 10 litres of water. The rate of flow of the water is modelled so that • there are V l
- June 2022, Core Pure 1, Q3 (6 marks): (a) Determine the general solution of the differential equation cos sin cos x y x y x x x d d e + = 2 2 giving your answer in the form y = f(x) (3) Given that y
- November 2021, Core Pure 1, Q8 (9 marks): Two different colours of paint are being mixed together in a container. The paint is stirred continuously so that each colour is instantly dispersed evenly thro
- November 2021, Further Pure 1, Q8 (17 marks): A community is concerned about the rising level of pollutant in its local pond and applies a chemical treatment to stop the increase of pollutant. The concentra
- November 2020, Core Pure 1, Q7 (11 marks): A sample of bacteria in a sealed container is being studied. The number of bacteria, P, in thousands, is modelled by the differential equation ( ) ( ) 1 1 1 2 +
- June 2019, Core Pure 1, Q5 (13 marks): $WDQNDWDFKHPLFDOSODQWKDVDFDSDFLW\RIOLWUHV7KHWDQNLQLWLDOO\FRQWDLQV OLWUHVRISXUHZDWHU 6DOWZDWHUHQWHUVWKHWDQNDWDUDWHRI
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