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The solution of the differential equation

$\frac{dy}{dx}$ – y$^{2}$ = 0, given y=1 at x=0 is

  1. $\frac{1}{1+x}$
  2. $\frac{1}{1-x}$
  3. $\frac{1}{(1-x)^2}$
  4. $\frac{x^3}{3}$+1
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