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JEE Math Practice Question

Let $$y=y(x)$$ be the solution of the differential equation $$\frac{d y}{d x}+\frac{5}{x\left(x^{5}+1\right)} y=\frac{\left(x^{5}+1\right)^{2}}{x^{7}}, x > 0$$. If $$y(1)=2$$, then $$y(2)$$ is equal to :

  1. A.$$\frac{693}{128}$$
  2. B.$$\frac{697}{128}$$
  3. C.$$\frac{637}{128}$$
  4. D.$$\frac{679}{128}$$

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