(a)[7]
Find the solution of the differential equation, giving $y$ in terms of $x$.
(b)[1]
State the behaviour of $y$ as $x$ approaches infinity.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $\frac{dy}{dx} = \frac{1 + 4y^2}{e^x}$. It is known that $y = 0$ when $x = 1$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly separate the variables and start integrating at least one side” …
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