Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The differential equation $\frac{dy}{dx} = \frac{xy}{1 + x^2}$ is satisfied by the variables $x$ and $y$, and when $x = 0$, $y = 2$.

(main)[7]

Find the solution to the differential equation, giving $y$ as a simplified expression in terms of $x$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out separation of variables correctly” …