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Mathematics (AS & A Level) · May / June 2025 · Paper 32 · Question 8

9709

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The variables x and i satisfy the differential equation ( ) sin cos x x 2 4 3 2 d d i i i = + , and x 0 = when r 12 1 i = . Solve the differential equation and obtain an expression for x in terms of i. [7]

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