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Find the solution of the differential equation and write $x$ as a function of $\theta$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $\theta$ are related by the differential equation $\dfrac{dx}{d\theta} = \left(\dfrac{1}{5}x + 1\right)\sin^2 2\theta$, with $x = 5$ when $\theta = 0$.