Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ satisfy the differential equation $\frac{dy}{dx} = \frac{6y e^{3x}}{2 + e^{3x}}$.
(main)[6]

With $y = 36$ when $x = 0$, find an expression for $y$ as a function of $x$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Variables are separated correctly, and there is a clear attempt to integrate at least one side

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