Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ obey the differential equation $x\frac{dy}{dx} = y(1 - 2x^2)$, and the condition $y = 2$ when $x = 1$ is given.
(main)[6]

Find the differential equation’s solution and give $y$ as a function of $x$ in a form that contains no logarithms.

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 and try integrating at least one of the sides

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