9231 P21 - Jun 2025 - Q7 - 10 marks
5909
Find the solution of the differential equation
\(\frac{\mathrm{d} y}{\mathrm{~d} x}-\frac{x+5}{x^{2}+10 x+61} y=1,\)
given that \(y=0\) when \(x=3\). Give your answer in an exact form.
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