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Math Help - non linear 1st order

  1. #1
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    non linear 1st order

    Hi, can anyone show me how this is done:
    x' = rx - rx^2
    Thanks,
    Ted C.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by tedchou12 View Post
    Hi, can anyone show me how this is done:
    x' = rx - rx^2
    Thanks,
    Ted C.
    If "r" is a constant then this is of variables seperable type

    CB
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  3. #3
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    yes, r is a constant, separable variable? intergrate both sides?
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  4. #4
    A Plied Mathematician
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    Quote Originally Posted by CaptainBlack View Post
    If "r" is a constant then this is of variables seperable type

    CB
    Just as an aside (since CB's method is undoubtedly the easiest): it's also a Bernoulli equation.
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  5. #5
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    Quote Originally Posted by tedchou12 View Post
    Hi, can anyone show me how this is done:
    x' = rx - rx^2
    Thanks,
    Ted C.
    Yes,
    \frac{dx}{x- x^2}= r dt
    Integrate both sides.
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