Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 31 · Question 8
9709
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The variables x and y satisfy the differential equation , x x y kx 1 d d e y 2 2 + = ` j where k is a constant. It is given that y 0 = when x 0 = and that y 2 1 =- when x 1 = . Solve the differential equation and find the exact value of y when x 3 = . [8]
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