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Differential Equations question

2021 · 20 Jul · Shift 1 · Q32

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JEE Main
Mathematics
Differential Equations
2021 · 20 Jul · Shift 1 · Q32

Differential Equations question

2021 · 20 Jul · Shift 1 · Q32

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let y = y(x) be the solution of the differential equation

{e^x}\sqrt {1 - {y^2}} dx + \left( {{y \over x}} \right)dy = 0

, y(1) =

-

1. Then the value of (y(3))2 is equal to :

A
1 $-$ 4e3
B
1 $-$ 4e6
C
1 + 4e3
D
1 + 4e6

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