Hi everybody. I have an impicit function that I want to solve numerically in mathematica it looks like:(adsbygoogle = window.adsbygoogle || []).push({});

(It's my first time doing something like this so if the code does not work, please say so)Code (Text):f[x] == b1 \!\(

\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(L\)]\(c[

x, \[Alpha]] f[\[Alpha]]

SuperscriptBox[\(E\), \(-\(

\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(\[Alpha]\)]f[\[Eta]] \

\[DifferentialD]\[Eta]\)\)] \[DifferentialD]\[Alpha]\)\) + b2 \!\(

\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(L\)]\(c[

x, \[Alpha]] \[Rho][\[Alpha]] \(

\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(\[Alpha]\)]f[\[Xi]]

SuperscriptBox[\(E\), \(\(-\(

\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(\[Xi]\)]f[\[Eta]] \

\[DifferentialD]\[Eta]\)\) -

\*SubsuperscriptBox[\(\[Integral]\), \(\[Xi]\), \(\[Alpha]\)]\[Rho][\

\[Eta]] \[DifferentialD]\[Eta]\)] \[DifferentialD]\[Xi] \

\[DifferentialD]\[Alpha]\)\)\)

When I put it in mathematica f will be the only unknown. For simplicity it can be assumed at first that c is constant (This one is already solvable for me, next it will probably be a step function, not continuous) and rho is constant (it will be some smooth function)

This is for me a rather hard cookie to crack. I hope there is someone who reads this who can tell me how to do this. Sorry I don't have all the functions yet.

Edit: I use mathematica version 7.0.1.0

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# Difficult implicit function in mathematica.

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