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The solution of the differential equation 

$$\frac{dy}{dx} = \frac{2xy}{x^2-y^2}$$

is

  1. $x^2 + y^2 = cy$, where $c$ is a constant
  2. $x^2 + y^2 = cx$, where $c$ is a constant
  3. $x^2 – y^2 = cy$ , where $c$ is a constant
  4. $x^2 - y^2 = cx$, where $c$ is a constant 
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