Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ obey the differential equation $(x + 1)\frac{dy}{dx} = y(x + 2)$, and the condition $y = 2$ holds when $x = 1$.
(main)[7]

Find the solution of the differential equation and write $y$ as a function 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 and reach $\int \frac{1}{y}\,dy=\int \frac{x+2}{x+1}\,dx$

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