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Math Help - How to rearrange DE?

  1. #1
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    Red face How to rearrange DE?

    Would really appreciate any ideas on rearranging this DE into a form that is ready to be solved using either separating of variables or integrating factor method.

    Thanks in advance

    dn/dt= r(1-n/s)n,

    Where r and s are constants.

    Any help would be appreciated
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  2. #2
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    \frac{dn}{dt} = r\left(1 - \frac{n}{s}\right)n

    \frac{dt}{dn} = \frac{1}{r\left(1 - \frac{n}{s}\right)n}

    t = \int{\frac{1}{r\left(1 - \frac{n}{s}\right)n}\,dn}.


    Now apply the method of Partial Fractions.
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