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Find the solution of the differential equation, giving $y$ as a function of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The coordinates $(x, y)$ of a typical point on the curve satisfy the differential equation $x \frac{dy}{dx} = (1 - 2x^2) y$, for $x > 0$. It is given that $y = 1$ when $x = 1$.