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Find the solution of the differential equation and the value of $y$ at $x = \frac{1}{2}$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The differential equation connecting $x$ and $y$ is $\frac{dy}{dx} = e^{3y} \sin^2 2x$. Also, $y = 0$ when $x = 0$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly separate variables with $e^{-3y}$ and $\sin^22x$ placed on opposite sides.” …
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