May/June 2026 Paper 32

2026 · 10 questions · 20 parts · 75 marks

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10(a)Partial FractionsMedium4 marks

Express

\frac{x + 3}{( x - 1 ) ( 2 x - 6 )}

in the form

\frac{A}{x - 1} + \frac{B}{2 x - 6}

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10(b)Separable Differential EquationsHard7 marks

(x - 1) (2 x - 6) \frac{d y}{d x} = \frac{x + 3}{ln ( 2 y )} .

The variables

x

and

y

satisfy the differential equation given above. It is given that

y = 1

when

x = 4

Solve the differential equation to obtain an equation in

x

and

y

Working

0 words