9231 P23 - Jun 2022 - Q5 - 9 marks
5987
Find the solution of the differential equation
\(x(x+7) \frac{\mathrm{d} y}{\mathrm{~d} x}+7 y=x\)
for which \(y=7\) when \(x=1\). Give your answer in the form \(y=\mathrm{f}(x)\).
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