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JEE Math Practice Question

The solution of the differential equation $${{dy} \over {dx}} = {{x + y} \over x}$$ satisfying the condition $$y(1)=1$$ is :

  1. A.$$y = \ln x + x$$
  2. B.$$y = x\ln x + {x^2}$$
  3. C.$$y = x{e^{\left( {x - 1} \right)}}\,$$
  4. D.$$y = x\,\ln x + x$$

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