The curve represented by the differential equation \( \mathrm{xdy}-...

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The curve represented by the differential equation \( \mathrm{xdy}-\mathrm{ydx}=\mathrm{ydy} \) intersects the \( \mathrm{y} \) axis at \( \mathrm{A}(0,1) \) and the line
P \( y=e \) at \( (a, b) \) then find \( a+b \)

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