Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ satisfy the differential equation $e^{4x}\,\frac{dy}{dx} = \cos^2 3y$. It is given that $y = 0$ when $x = 2$.
(main)[7]

Find the solution of the differential equation, giving $y$ as an expression in terms of $x$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the separation of variables accurately.

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