Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

If $y = 0$ when $x = 1$.
(main)[6]

Solve the differential equation $xy\,\frac{dy}{dx} = y^2 + 4$, and obtain an expression for $y^2$ in terms of $x$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Variables are separated correctly” …

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