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Find the solution of the differential equation and express $x$ as a function of $\theta$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $\theta$ obey the differential equation $2\cos^2\theta\,\frac{dx}{d\theta} = \sqrt{2x + 1}$, and $x$ takes the value 0 when $\theta = \frac{1}{4}\pi$.
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