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Differential Equations question

2021 · 20 Jul · Shift 2 · Q40

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JEE Main
Mathematics
Differential Equations
2021 · 20 Jul · Shift 2 · Q40

Differential Equations question

2021 · 20 Jul · Shift 2 · Q40

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Let a curve y = y(x) be given by the solution of the differential equation

\cos \left( {{1 \over 2}{{\cos }^{ - 1}}({e^{ - x}})} \right)dx = \sqrt {{e^{2x}} - 1} dy

. If it intersects y-axis at y =

-

1, and the intersection point of the curve with x-axis is (

\alpha

, 0), then e

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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