plumiFurther differential equations: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FP.3 Further differential equations, 2018–2025, with its mark scheme and examiner’s report.
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All 6 questions on Further differential equations, as a list
- June 2025, Further Pure with Technology, Q3 (18 marks): This question concerns the family of differential equations d y ex x y a sin ( ) y (**) = - + d x where a is a constant. (a) In this part of the question a 0 .
- June 2024, Further Pure with Technology, Q3 (20 marks): This question concerns the family of differential equations d y 2 x y a cos ( ) x cos ( ) y (**) = - + d x where a is a constant, x 0 and y 2 0 . H (a) In this
- June 2023, Further Pure with Technology, Q4 (18 marks): In this question you are required to consider the family of differential equations a k d P P rP 1 , t 0 , P t ( ) 0 (*) = - H H K d t where r and K are positive
- June 2022, Further Pure with Technology, Q3 (20 marks): In this question you are required to consider the family of differential equations a d y y 1 (*) = - y d x x 1 + and its solutions. The parameter a is a real nu
- November 2021, Further Pure with Technology, Q4 (19 marks): This question concerns the family of differential equations d y 1 x - a arctan ( ) y ( x 0 ) (*) = + H d x 2 ( x 1 ) + where a is a constant. (a) (i) Find the s
- June 2019, Further Pure with Technology, Q3 (20 marks): This question concerns the family of differential equations d y a 1 x y (*) = - d x where a is –1, 0 or 1. (a) Determine and describe geometrically the isocline
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