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Wondering in Math !!!

Discussion in 'Mathematics and Physics' started by engineers feel, Feb 25, 2008.

  1. engineers feel

    engineers feel New Member

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    how are you doing every one ?
    I just have a wondering and I hope you help me to get its answer


    I've an equation and I want to get the value of Y with respct to X

    the equation is

    sin ( Y ln(XY) ) + e^(XY^(2)) - 1 = 0

    as I told you, I need the value of Y with respct to X

    I'm waiting for you ,,,,


    Regards
     
  2. Papabravo

    Papabravo Well-Known Member

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    What makes you think that there is a way?
     
  3. engineers feel

    engineers feel New Member

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    As a matter of fact, there was a challenge between me and my friends
    about above equation and we were looking for its answer
    and in my opinion, if we have two variables in one equation
    we can easly get the value of one of them with repect to another
    so I want you to share me this challenge and I'm sure we can get its answer
    if we put some efforts
    and I again hope you help me to find the answer

    Regards
     
  4. dave

    Dave New Member

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  5. Papabravo

    Papabravo Well-Known Member

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    Separating variables is not always possible. The odds drop dramatically when transcental functions are involved. I think you have no chance on this one, unless there is someone telling you that there is a solution.

    As another example, consider the general conic section

    Ay² + By + Cxy + Dx² + Ex + F = 0, for real constants A, B, C, D, E, & F

    I dont think you can separate this one either
     
    Last edited: Feb 25, 2008
  6. engineers feel

    engineers feel New Member

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    Thanks to you
     
  7. erosennin

    erosennin New Member

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    This is what it looks like...

    Just because there is an equation doesn't mean that it is able to be transposed. Like some engineering functions, they are just approximations.
     

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  8. bananasiong

    bananasiong New Member

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    Hi,
    What software are you using to plot this? Excel?
     
  9. erosennin

    erosennin New Member

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    MatLAB. Like excel, but better.
     
  10. cesco

    cesco New Member

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    I have some vague memories of functional analysis, but i think that with Taylor series and a bit of accurate calculations you can manage to extract a function which approximates well your function and in which variables are separable.

    But my memories are vague, so I'm not completely sure.
     
  11. Papabravo

    Papabravo Well-Known Member

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    I think working with any series expression represented by that function is going to be harder than you can imagine. I'm calling your bluff on this one.
    Yuuuuh!

    Also as you can see from the plot the function is multivalued, and in a strict sense is not really even a function, much less one that can be separated.
     
    Last edited: Mar 12, 2008

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