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 $y = \frac{1}{4}\pi$.
(main)[8]

Use this differential equation to determine the value of $x$ when $y = \frac{1}{3}\pi$.

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 and start integrating one side

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