Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ are linked by the differential equation $\dfrac{dy}{dx} = \dfrac{y - 1}{(x + 1)(x + 3)}$. It is stated that $y = 2$ when $x = 0$.
(main)[9]

Solve the differential equation, and express $y$ as a function of $x$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Separate the variables correctly and carry out integration on at least one side

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