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Math Help - First order ODE integration

  1. #1
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    First order ODE integration

    Hey its me again and I got stuck with my integration for first order ode

    this is the question, and what I have done so far

    \frac{dy}{dt}=y(2-y)(y-1)


    \int\frac{1}{y(2-y)(y-1)}dy=\int 1 dt


    \int \frac{1}{y} + \frac{1}{2-y} + \frac{1}{y-1}dy=t+c


    \log y - \log (2-y) + \log (y-1) = t+c


    \log \frac{y(y-1)}{2-y}=t+c


    \frac{y(y-1)}{2-y}=\log (t+c)


    I do not know how to continue from here, any clues?
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  2. #2
    Member
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    Re: First order ODE integration

    Hi junkwisch !
    There are some mistakes in your calculus (see attachment)
    Attached Thumbnails Attached Thumbnails First order ODE integration-mistakes.jpg  
    Thanks from junkwisch
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