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Solve the differential equation, and express $y$ as a function of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ satisfy the differential equation $x \frac{dy}{dx} = 1 - y^2$. Also, when $x = 2$, $y = 0$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly separate the variables and make an attempt at the integration.” …
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