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Mathematics (AS & A Level) · Oct / Nov 2019 · Paper 32 · Question 6

9709

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The variables x and 1 satisfy the differential equation sin 1 21 dx d1 = x + 2 cos 1 21 for 0 < 1 < 0. It is given that x = 1 when 1 = 1 30. Solve the differential equation and obtain an expression for x in terms of cos 1. [8] 11

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