Solve Equation for b in Mathematica | Step-by-Step Guide

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SUMMARY

The discussion focuses on solving the equation c=(m/b)(a-(F/b))exp(-btn/m)(1-exp(-bt/m))^2 for the variable b using Mathematica. The user encountered a warning while using the `Solve` command, indicating that the expression cannot be expressed in an algebraic form. The recommended approach is to utilize numerical methods such as `NSolve`, `Root`, or `NRoot` to find a solution for b, as these functions can handle non-algebraic equations effectively.

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This discussion is beneficial for mathematicians, engineers, and students who are working with complex equations in Mathematica and require assistance in solving for variables using numerical methods.

mutogenic01
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Hi everybody.
I have this equation

c=(m/b)(a-(F/b))exp(-btn/m)(1-exp(-bt/m))^2 where;

a=0.14
m=4.3
F=1.88
n=integer (1-5000)
t=0.1
c=2x[(n+1)t]-x[(n+2)t]-x[nt] --- the value for x at a particular n is obtained from a graph

I have to solve for b. I have tried to solve this equation using Mathematica using the `Solve` command but there was a warning about the expression non in algebraic way.

Is there anybody out there who have any idea what function I can use in Mathematica to solve this equation? It seems easy because the only unknown is b. But I am not familiar with Mathematica so I still can`t solve it.

Thanks in advance.
 
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Not entirely clear (I am not sure I understand your notation).

When Mathematica tells you that, it means that it can't find a way to express the answer in analytical form as a function of the variables you gave it. But you can always try for a numerical solution, using NSolve or similar (there's something like Root or NRoot, but I don't have mathematica handy right now).
 

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