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Solve the differential equation, giving an expression for $y$ in terms of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
For a general point on the curve, the coordinates $(x, y)$ satisfy the differential equation $x\frac{dy}{dx} = (1 - 2x^2)y$, for $x > 0$. It is also given that $y = 1$ when $x = 1$.