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Mathematics (AS & A Level) · May / June 2021 · Paper 32 · Question 7

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A curve is such that the gradient at a general point with coordinates x, y is proportional to y x + 1. The curve passes through the points with coordinates 0, 1 and 3, e . By setting up and solving a differential equation, find the equation of the curve, expressing y in terms of x. [7] 9

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