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

[mutogenic01]

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.

 

[vanesch]

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).

 

[oswaler]

Hello,

To solve this equation for b in Mathematica, you can use the `NSolve` command. This command is used for numerical solutions of equations and can handle more complex equations like the one you have provided. The syntax for `NSolve` is as follows:

NSolve[equation, variable, initial guess]

In your case, the equation is the one you have provided, the variable is b, and the initial guess can be any number. So the command would look like this:

NSolve[c == (m/b)(a-(F/b))Exp[-b*t*n/m](1-Exp[-b*t/m])^2, b, 1]

This will give you the numerical solution for b. You can also use `FindRoot` command to get the same result.

I hope this helps. Good luck with your research!