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=e^π, y=0 and y=y(x) is αe²π + β, then the value of 10(α+β) is equal to......
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=e^π, y=0 and y=y(x) is αe²π + β, then the value of 10(α+β) is equal to......
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