plumiNumerical solution of differential equations: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 6.6 Numerical solution of 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 6 questions on Numerical solution of 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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