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Solve the differential equation, writing $x$ explicitly as a function of $\theta$ and simplifying your result as much as possible.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
A differential equation links $x$ and $\theta$ as $\sin 2\theta \, \frac{dx}{d\theta} = (x + 1)\cos 2\theta$, with $0 < \theta < \frac{1}{2}\pi$. The condition $\theta = \frac{1}{12}\pi$ gives $x = 0$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Separate the variables and integrate at least one side of the equation.” …
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