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Differential Equations question

2021 · 18 Mar · Shift 2 · Q40

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JEE Main
Mathematics
Differential Equations
2021 · 18 Mar · Shift 2 · Q40

Differential Equations question

2021 · 18 Mar · Shift 2 · Q40

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

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 line x = 1, x = e

\pi

, y = 0 and y = y(x) is

\alpha

e2

\pi

+

\beta

, then the value of 10(

\alpha

+

\beta

) is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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