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Math Help - Solve the Mathematical Model (Population Differantial Equation)

  1. #1
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    Solve the Mathematical Model (Population Differantial Equation)

    Given a population differential equation model
    dy/dt = y(y-1)(y-3) and y(0)=yo

    Solve the following:
    solve the mathematical model with yo= .5 (ii)yo =1.5
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by cowracer3 View Post
    Given a population differential equation model
    dy/dt = y(y-1)(y-3) and y(0)=yo

    Solve the following:
    solve the mathematical model with yo= .5 (ii)yo =1.5

    This is of variables seperable type so:

     <br />
\int \frac{1}{y(y-1)(y-3)}\ dy =\int \ dt<br />

    or using partial fractions fractions:

     <br />
\int{{1}\over{3\,y}}-{{1}\over{2\,\left(y-1\right)}}+{{1}\over{6\, \left(y-3\right)}}\ dt=t+C<br />

    Though that may not be where you want to put the constant.

    CB
    Last edited by CaptainBlack; February 13th 2009 at 11:37 PM.
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