Area Under Differential Equation Solution

Let y=y(x) be the solution of the differential equation xdy−ydx=√(x2−y2)dx,x≥1, with y(1)=0. If the area bounded by the line x=1,x=eπ, y=0 and y=y(x) is αe2π+β, then the value of 10(α+β) is equal to