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Determine the equation of the curve by setting up and solving a differential equation, giving $y$ in terms of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
For this curve, the gradient at a general point with coordinates $(x, y)$ is proportional to $\frac{y^2}{x}$. It also passes through the points with coordinates $(1, 1)$ and $(e, 2)$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the differential equation $\frac{dy}{dx}=k\frac{y^2}{x}$, or an equivalent form.” …
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