Let y=y(x) be the solution of the differential equation xdy–ydx=√( – InterviewSolution

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1.	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+b, then the value of 10(α+β) is equal to
Answer» 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 $x = 1, x = e^{π}, y = 0$ and $y = y (x)$ is $α e^{2 π} + b$ , then the value of $10 (α + β)$ is equal to

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