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JEE Math Practice Question

The solution of the differential equation $$(x^2+y^2) \mathrm{d} x-5 x y \mathrm{~d} y=0, y(1)=0$$, is :

  1. A.$$\left|x^2-4 y^2\right|^5=x^2$$
  2. B.$$\left|x^2-2 y^2\right|^6=x$$
  3. C.$$\left|x^2-2 y^2\right|^5=x^2$$
  4. D.$$\left|x^2-4 y^2\right|^6=x$$

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