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JEE Math Practice Question

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 :

  1. A.1 $$-$$ 4e3
  2. B.1 $$-$$ 4e6
  3. C.1 + 4e3
  4. D.1 + 4e6

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