Let y=y(x) be the solution of the differential equation x d y-y d x=\sqrt{(x^{2}-y^{2})} d x, x \geq 1, with y(1)=0. If the area bounded by the line x=1, x=e^{\pi}, y=0 and y=y(x) is \alpha e^{2 \pi}+\beta, then the value of 10(\alpha+\beta) is equal to [18 Mar 2021 Shift 2]

Differential Equations Part 1

Section: Mathematics

Question : 24 of 100

Marks: +1, -0

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

[18 Mar 2021 Shift 2]

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