No explicit solution using "solve"

Hi I have the following code, where I am trying to solve for the variable "Z", with all other variables having assigned values;

Fc = [80] 
k = [0.01]  
r1 = [0.2835]
r2 = [0.2201]
Cz = [0.0148]

syms Z
eqn = (Fc * [ (((r1+r2)/k)*exp(r1-r2)*Z) / (((r1/r2)*exp(r1)*Z) - ((r2/r1)*exp(-r2)*Z)) ])-Cz
eqn=solve(eqn,Z,'IgnoreAnalyticConstraints',1)

However, it seems that MATLAB cannot find an explicit solution. It returns a an "empty 0-1 sym". I fear that it may not have a solution, but I am unsure on how to continue to test the problem, perhaps with "fsolve, fzero, or vpasolve".

Answer 1

[Torsten]

Plot the function and see whether it behaves as expected.

Then try "fzero" to solve for Z.

Best wishes

Torsten.