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Use a differential equation method to determine the equation of the curve, writing $y$ in terms of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The curve has the property that the gradient at a point with coordinates $(x, y)$ is proportional to $\frac{y}{\sqrt{x+1}}$. It passes through the points with coordinates $(0, 1)$ and $(3, e)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the differential equation $\frac{dy}{dx}=k\frac{y}{\sqrt{x+1}}$” …
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