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JEE Math Practice Question

Let y = y(x) be the solution of the differential equation $$\cos e{c^2}xdy + 2dx = (1 + y\cos 2x)\cos e{c^2}xdx$$, with $$y\left( {{\pi \over 4}} \right) = 0$$. Then, the value of $${(y(0) + 1)^2}$$ is equal to :

  1. A.e1/2
  2. B.e$$-$$1/2
  3. C.e$$-$$1
  4. D.e

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