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JEE Math Practice Question

If $${{dy} \over {dx}} = {{xy} \over {{x^2} + {y^2}}}$$; y(1) = 1; then a value of x satisfying y(x) = e is :

  1. A.$$\sqrt 2 e$$
  2. B.$${1 \over 2}\sqrt 3 e$$
  3. C.$${e \over {\sqrt 2 }}$$
  4. D.$$\sqrt 3 e$$

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