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Best answer by ttokoro

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3 replies

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Cornel19-Tanzanite
19-Tanzanite
May 24, 2024

Cornel_0-1716537797899.png

    ttokoro
    21-Topaz I
    ttokoro21-Topaz IAnswer
    21-Topaz I
    May 24, 2024

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    t.t.
      L
      lvl10720-TurquoiseAuthor
      20-Turquoise
      May 24, 2024

      Many thanks, Cornel, Werner, and Tokoro. And :

      B.PNG

      The query is : "Is there any approach by programming ?

      Regards.

      Loi.

      W
      Werner_E25-Diamond I
      25-Diamond I
      May 24, 2024

      You changed the function from tan(ln(x)) to tan(2*ln(x)) - why?

      What do you mean by "calculate by hand"?

      Are you aware that the system has an infinite number of solutions? Not only in the x-range from 0 to infinity, but there is also an infinite number of solution in any range from 0 to any number!

      Best seen in a log-lin plot

      Werner_E_0-1716591885582.png

      For very small x-values the solutions are very near the zeros of the blue functions which are at x=exp(k*pi/2) where k is any integer.

       

      W
      Werner_E25-Diamond I
      25-Diamond I
      May 24, 2024

      Not that it would help in any way for a symbolic solution, but why do you state the second equation in such an unnecessarily complicated way?

      Its 'simply'

      Werner_E_0-1716552718889.png

      The symbolic in Mathcad is not capable enough to derive that simplification (which could easily done 'by hand') but at least it can confirm that my simplification is correct

      Werner_E_1-1716552907117.png

       

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