Let y=y(x) be the solution of the differ...

Let y=y(x) be the solution of the differential equation `xdy-ydx =sqrt(x^2-y^2) dx, x ge 1,` with y(1)=0. If the area bounded by the lin x=1, `x=e^(pi), y =0 and y=y(x)` is `alpha e^(2pi)+beta`, then the value of `10 (alpha+beta)` is equal to ..........

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