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Solve the differential equation and express $x$ in terms of $\theta$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $\theta$ are linked by the differential equation $\sin 2\theta\,\frac{dx}{d\theta} = (4x + 3)\cos 2\theta$, and $x = 0$ at $\theta = \tfrac{1}{12}\pi$.