Mathematica Solving an Equation for u: Can Mathematica Help?

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The discussion centers on the challenges of solving the equation ru(1-u/q)-(1-E^{-u^2/t}) == 0 for u using Mathematica's Solve function. Users express frustration as Mathematica indicates that the equation cannot be solved with its standard methods. The Lambert W function is mentioned as a potential avenue for further understanding, suggesting that it may be relevant to the problem, although the equation's structure complicates isolating u. The participants highlight the difficulty in manipulating the equation to facilitate a solution.
Dustinsfl
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I am using Solve to try an solve this equation for u.

Code:
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?
 
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pickslides said:
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.
 

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