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Determine the equation of the curve, giving $y$ explicitly in terms of $x$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
For a general point on the curve, the coordinates $(x, y)$ satisfy the differential equation $x\frac{dy}{dx} = (2 - x^2)y$. The curve also goes through $(1, 1)$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Separate the variables correctly and carry out integration on at least one side” …
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