Edexcel A-level Mathematics · 9MA0

Differential equations

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

01 · Pure 1 · 100 marks · 2 hours
02 · Pure 2 · 100 marks · 2 hours
03 · Statistics & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure Mathematics practice · 9MA0

Torus Maths original · Edexcel style

For x≥0, a differentiable function y with $0<y<1$ satisfies $dy/dx=4xy^2(1-y)/(1+2x^2)$ and y(0)=1/2.

(a)

Find an implicit equation relating x and y.

(5)

Working

(b)

Find the positive x-coordinate at which y=2/3, giving an exact answer.

(2)

Working

(c)

Explain why the implicit equation gives exactly one value of y in (0,1) for each finite x≥0.

(2)

Working

(Total for Question 1 is 9 marks)

Question reference: edexcel-a-level-pure-reviewed-33-01Report a question →

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