(a)[6]
Solve the differential equation, and express $y$ in terms of $x$.
(b)[1]
Sketch the graph of $y$ with respect to $x$ for $0 \le x \le 2\pi$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $(1 - \cos x)\frac{dy}{dx} = y\sin x$. It is stated that $y = 4$ when $x = \pi$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Variables are separated correctly, and integration is attempted on at least one side” …
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