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Mathematics (AS & A Level) · Oct / Nov 2020 · Paper 31 · Question 8

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The coordinates x, y of a general point of a curve satisfy the differential equation xdy dx = 1 −2x2 y, for x > 0. It is given that y = 1 when x = 1. Solve the differential equation, obtaining an expression for y in terms of x. [6] 13

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