Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The differential equation satisfied by a general point $(x, y)$ on the curve is $x\frac{dy}{dx} = (2 - x^2)y$. The curve also passes through $(1, 1)$.
(main)[7]

Find the equation of the curve, with $y$ written 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: Separate the variables correctly and integrate at least one side

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