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How do you solve this differential equation?

  1. Apr 18, 2004 #1
    The population growth of bacteria is proportional to the square of the population.
  2. jcsd
  3. Apr 18, 2004 #2
    dP/dt = kP^2
    dP/P^2 = kdt
    -1/P = kt + C

    -1/Po = C

    -1/P = kt - 1/Po = (Po*kt - 1)/Po

    P = Po/(1 - Po*kt)

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