Find the solution of a complex equation

Asked Aug 16 '18 at 08:46

Active Aug 16 '18 at 09:24

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Find the solution $x$ of the equation $$ \frac{{Ae^{\frac{{Cx}} {{{\left( {1 - x}\right)}^{D} }}} }}{{1 + Bx}} = x $$ where $A$,$B$,$C$ and $D$ are the constant coefficients. If the solution of above equation can't be obtained, I want to ask to find the solution x of the equation $$ \frac{{Ae^{Cx} }}{{1 + Bx}} = x $$ where $A$,$B$,$C$ are the constant coefficients.

edited Aug 16 '18 at 09:24

tmaths

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asked Aug 16 '18 at 08:46

user581447

1

I had tried to use the Fixed point method, but I didn't get the solution. Maybe I didn't understand the Fixed point method. I want to get the algebraic solution of the equations. – user581447 Aug 16 '18 at 08:49
Sorry to Dr. Sonnhard Graubner, I didn't reply to you in time. I received the email but I wrongly regarded it as spam. – user581447 Aug 16 '18 at 08:54
Have you tried using Maple? – Jan Aug 16 '18 at 09:24
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No hope for analytical solution. Numerical methods only. – Claude Leibovici Aug 16 '18 at 09:32
Maple and Mathematica can't find analytical solution for first and second equation. – Mariusz Iwaniuk Aug 16 '18 at 09:35
Thanks for your replies. – user581447 Aug 16 '18 at 11:17
Do you need an analytical solution (i.e. x in terms of A,B,C,D)? Or could you be satisfied with an algorithm that, provided real values for A,B,C,D , will provide you a solution "x"? – Snifkes Aug 17 '18 at 18:41
I need an analytical solution (i.e. x in terms of A,B,C,D). – user581447 Aug 19 '18 at 02:37

Find the solution of a complex equation

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