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9231 P21 - Jun 2020 - Q1 - 6 marks
6031

Find the solution of the differential equation
\[\frac{\mathrm{d} y}{\mathrm{~d} x}+5 y=\mathrm{e}^{-7 x}\]
for which \(y=0\) when \(x=0\). Give your answer in the form \(y=\mathrm{f}(x)\).

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