Mathematics (AS & A Level) · May / June 2023 · Paper 31 · Question 7
9709
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The variables x and y satisfy the differential equation cos 2x dy dx = 4 tan 2x sin2 3y , where 0 ≤x < 1 4π. It is given that y = 0 when x = 1 6π. Solve the differential equation to obtain the value of x when y = 1 6π. Give your answer correct to 3 decimal places. [8] 11
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