Solving an Equation for u: Can Mathematica Help?

[Dustinsfl]

I am using Solve to try an solve this equation for u.

Solve[ru(1-u/q)-(1-E^{-u^2/t}) == 0, u]

However, Mathematica keeps telling me that system can't be solved with the methods used by solve.

Is there another way to do it?

 

[pickslides]

I don't see a way, although this article may give you some further understanding

http://en.wikipedia.org/wiki/Lambert_W_function

 

[Dustinsfl]

I don't see a way, although this article may give you some further understanding

http://en.wikipedia.org/wiki/Lambert_W_function

It doesn't appear that the u's can separated to one side though with this equation.