Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ are related by the differential equation $e^{2x} \frac{dy}{dx} = 4xy^2$, and the condition $y = 1$ is true when $x = 0$.
(main)[7]

Solve the differential equation, giving $y$ as an expression in terms of $x$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Variables separated accurately

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