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Solve the differential equation to determine the value of $x$ when $y = \frac{1}{6}\pi$. Give your answer correct to 3 decimal places.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ obey the differential equation $\cos 2x\,\frac{dy}{dx} = \frac{4\tan 2x}{\sin^2 3y}$, with $0 \le x < \frac{1}{4}\pi$. Also, $y = 0$ when $x = \frac{1}{6}\pi$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Separate the variables correctly in the differential equation.” …
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