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Express t and s as functions of x and y given

  1. Apr 9, 2008 #1
    1. The problem statement, all variables and given/known data


    How do I express t and s as functions of x and y given

    x = -(2t+1)*s/(t^2-1)
    y = e^(t + ln|s|)



    I keep getting stuck in a loop.


    2. Relevant equations

    substitution

    3. The attempt at a solution

    x= -(2t+1)*s/(t^2-1)


    I get t = sqrt(1-s/x)

    t = sqrt(1-s/x)

    s = e^(-t)y

    substituting the terms in either expression gets me stuck in a loop. What am I doing wrong?

    what I need is t = T(x,y) and s = S(x,y). The other important part is that s needs to stay any real number.

    Thanks!
     
    Last edited: Apr 9, 2008
  2. jcsd
  3. Apr 9, 2008 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I don't think you have a prayer of finding a nice expression for T and S. Why do you want to do this? Ask yourself if you really have to.
     
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