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Express t and s as functions of x and y given

  • Thread starter sapiental
  • Start date
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1. Homework Statement


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. Homework 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:

Answers and Replies

Dick
Science Advisor
Homework Helper
26,258
618
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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