Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The differential equation satisfied by the variables $x$ and $y$ is $(x + 1)\frac{dy}{dx} = y^2 + 5$, and the condition $y = 2$ applies when $x = 0$.
(main)[7]

Solve the differential equation and obtain an expression for $y^2$ 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: Separate the variables accurately and integrate at least one side

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