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JEE Math Practice Question

If $$y = y(x)$$ is the solution of the differential equation $$2{x^2}{{dy} \over {dx}} - 2xy + 3{y^2} = 0$$ such that $$y(e) = {e \over 3}$$, then y(1) is equal to :

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

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