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Separable equations

If f(x)=[f(x)]2f'(x)=[f(x)]^2 and f(0)=1f(0)=1, then f(6)=1/nf(6)=1/n for some integer nn.
What is nn?
n= n=~
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4