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Asked: 2026-05-21T18:07:03+00:00

I am now trying to solve an exponential equation in MATLAB as a part

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I am now trying to solve an exponential equation in MATLAB as a part of my assignment. It is easy to see that the equation

exp(-t)+t*exp(-t)-n=0

would have two solutions, one greater than zero and one smaller.

However, using just the solve function, MATLAB returns something called lambertw function and it can only eval() to the solution below zero, which happens not to be the one I want for the answer. Could anyone help me here?

Thanks in advance for all the answers and comments!

p.s. As an alternative, I am thinking about using Newton-Raphson method to solve it, but I wonder how is the speed comparing to solve()?

Ziyao Wei

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1 Answer

  1. Editorial Team

    lambertw is the function that you need. However, it is a multivalued function and has several branches. You need to choose the right branch for your answer. See my answer to another question on how to choose a different branch for the solution.

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