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Work through the differential equation $\sin 2\theta \frac{dx}{d\theta} = (x + 1)\cos 2\theta$, and express $x$ as a function of $\theta$, simplifying your result as much as you can.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
A differential equation connects $x$ and $\theta$, with $0 < \theta < \frac{1}{2}\pi$; moreover, when $\theta = \frac{1}{12}\pi$, the value of $x$ is $0$.
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