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Particular solutions to separable differential equations

Problem

If f, prime, left parenthesis, x, right parenthesis, equals, open bracket, f, left parenthesis, x, right parenthesis, close bracket, squared and f, left parenthesis, 0, right parenthesis, equals, 1, then f, left parenthesis, 6, right parenthesis, equals, 1, slash, n for some integer n.
What is n?
n, equals, space
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
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