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JEE Math Practice Question

Let $$y=y(x)$$ be the solution of the differential equation $$(x^2+4)^2 d y+(2 x^3 y+8 x y-2) d x=0$$. If $$y(0)=0$$, then $$y(2)$$ is equal to

  1. A.$$2 \pi$$
  2. B.$$\frac{\pi}{8}$$
  3. C.$$\frac{\pi}{16}$$
  4. D.$$\frac{\pi}{32}$$

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