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Thread: tanh(x)/x=c with Lambert W function?

  1. #1
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    Talking tanh(x)/x=c with Lambert W function?

    I tried to solve
    tanh(x)/x=c for x
    c: constant

    The equation derived from Fick's law and Tafel law for electrochemical kinetics.
    Thank you so much for your help!!
    S
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  2. #2
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    Re: tanh(x)/x=c with Lambert W function?

    Hey SHIRO.

    Can you show us what you have tried?
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  3. #3
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    Re: tanh(x)/x=c with Lambert W function?

    Quote Originally Posted by SHIRO View Post
    I tried to solve
    tanh(x)/x=c for x
    c: constant

    The equation derived from Fick's law and Tafel law for electrochemical kinetics.
    Thank you so much for your help!!
    S
    if you graph this for a few instances of $c$ it becomes pretty clear what the only solution is.
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