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Find the solution of the differential equation and hence determine the value of $y$ when $x = 0.5$, correct to 2 decimal places.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $\frac{dy}{dx} = \frac{6xe^{3x}}{y^2}$. You are told that $y = 2$ when $x = 0$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out a correct separation of variables and begin integration on at least one side” …
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