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Math Help - Difference b/w autonomous and separabale

  1. #1
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    Difference b/w autonomous and separabale

    Hello everyone,

    If an autonomous ODE is given by dy/dx = f(y)
    and a separable ODE is given by dy/dx = f(x)f(y)

    then all autonomous ODEs are separable? Is this right?

    Thanks
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  2. #2
    MHF Contributor chisigma's Avatar
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    ... it is self evident that the case \frac{dy}{dx}= f(y) is a particular case of \frac{dy}{dx}= g(x)\cdot f(y) with g(x)=1 ...

    Kind regards

    \chi \sigma
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