Mathematics (AS & A Level) · May / June 2026 · Paper 33 · Question 10

The variables x and y satisfy the differential equation ( ) x y x y 4 3 e d d x 2 = + for y 3 – 2 . It is given that y 2 – = when x 0 = . Solve the differential equation and obtain an expression for y in terms of x. [8] 16 4 1 –

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