Unable to find explicit solution

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Tiku on 1 Apr 2021
Commented: Tiku on 4 Apr 2021
Matlab says "Unable to find explicit solution" when trying to solve following non linear equation
-log(y) = psi(1/2+ x/y) - psi(1/2)
Here psi is digamma function
What is wrong with my code, below?
I am using matlab version R2021a
syms x y
eqn = psi(1/2 + x/y)- psi(1/2)+ log(y)==0;
soly = solve(eqn,y)
Unable to find explicit solution. For options, see help.
> In sym/solve (line 317)
soly =
Empty sym: 0-by-1
Tiku on 1 Apr 2021
Thank you for the reply.
I see explicit solution doesn't exist.
That means in order to plot y vs x I should assigned the value of x and solve for y right?

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Accepted Answer

Matt J
Matt J on 1 Apr 2021
You can use fimplicit.
Tiku on 4 Apr 2021
I totally agree Matlab calulation is right. Actually after the plot I have to use some physics to ignore certain parts of the plot so at this stage both Matlab and paper is right.
So I really apppreciate your help and thank you.

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