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Homework Help: How to solve this equation

  1. Sep 18, 2007 #1
    1. The problem statement, all variables and given/known data

    A certain population has a growth rate that satisfies the differential equation:


    If y(0)=1 find the time [tex]\tau[/tex] that the population has doubled.

    2. Relevant equations

    3. The attempt at a solution

    This is a simple separable differential equation but when I try to solve for t when the population has doubled I get the following equation, and I can't figure out how to solve for t. I know that the equation is correct because my calculator solved it and gave the correct answer. I'm just trying to figure out where to go from here:



    Sorry about my poor use of latex
  2. jcsd
  3. Sep 18, 2007 #2


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    Science Advisor
    Homework Helper

    Your calculator omitted an integration constant. You'll have to have talk with it. Seriously, when you integrate something it introduces an arbitrary constant, remember?
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