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Find the solution of this differential equation and determine $x$ when $y = \frac{1}{3}\pi$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $\frac{dy}{dx} = 4\cos^2 x\tan x$, for $0 \leq x < \frac{1}{2}\pi$, and $x = 0$ when $y = \frac{1}{4}\pi$.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the separation of variables correctly and then start integrating one side” …
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