(a)[8]
Using a differential equation set-up and solution, determine the equation of the curve, with $y$ written as a function of $x$.
(b)[1]
Describe the behaviour of $y$ as $x$ approaches infinity.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
A particular curve has gradient at a point $(x, y)$ proportional to $\dfrac{y}{x\sqrt{x}}$. It passes through the points $(1, 1)$ and $(4, e)$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\dfrac{dy}{dx}=\dfrac{k-y}{x\sqrt{x}}$, or an equivalent form” …
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