9709 P32 - Mar 2026 - Q8
4331
The variables \(x\) and \(y\) satisfy the differential equation
\[ ye^{3x}\frac{dy}{dx}=x(y+5). \]
It is given that \(y=0\) when \(x=0\).
Solve the differential equation to obtain an equation in \(x\) and \(y\).
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