Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The variables $x$ and $y$ are linked through the differential equation $(x^2+4)\frac{dy}{dx}=6xy$. It is given that $y=32$ when $x=0$.
(main)[6]

Find an expression for $y$ expressed in terms of $x$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Separate the variables correctly, then integrate one side

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