How to Solve Nonlinear Equations in Physics?

[dm164]

I have been deriving a formula from physics. Anyway, I came across a equation that goes by the form y = exp(1/(xy)) *(b - 1/x) solve for y ; b is a constant there are other constants but i removed them for simplicity. or x = exp(1/x) solve for x , it is a function

Could some one at least point me to what I should look up to figure how to solve this kind of problem.

 

[micromass]

You will need to look up the Lambert W function for this. See http://en.wikipedia.org/wiki/Lambert_W_function

Specifically, the section on "Applications" should be of interest here...

 

[dm164]

Perfect thanks