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Find the exact value of $y$ when $x = 3$ after solving the differential equation, and give your answer in simplified form.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $(x + 1)(3x + 1)\frac{dy}{dx} = y$, with the condition that $y = 1$ when $x = 1$.
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 integrate at least one side.” …
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