(i)[7]
Set up and solve a differential equation to show that the equation of the curve is $y = 2e^{x^2 - 1}$.
(ii)[2]
State the gradient at the point $(-1, 2)$, and sketch the curve.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
For one curve, the gradient at a point $(x, y)$ is proportional to $xy$. At the point $(1, 2)$ the gradient is 4.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Show that the differential equation takes the form $\frac{dy}{dx} = 2xy$” …
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