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Re: how to solve integral equation


fcn[x_?NumericQ,b1_?NumericQ,b2_?NumericQ]:=
    NIntegrate[Exp[-(b1 x1^3+b2 x1)],{x1,0,x}];

With[{x = 100,b2=.1 }, 
  FindRoot[fcn[x,b1,b2]==1,
    {b1,.1}]]

{b1 -> 0.5961404931802724}

fcn[100,b1,.1]/.%

1.


Bob Hanlon

> 
> From: mss4 at duke.edu
To: mathgroup at smc.vnet.net
> Date: 2005/03/25 Fri AM 05:48:19 EST
> To: mathgroup at smc.vnet.net
> Subject: [mg55486] [mg55478] how to solve integral equation
> 
> I have a function
> 
> fcn[x_,b1_,b2_]:= Integrate[Exp[-(b1 x1^3 + b2 x1)],{x1,0,x}]
> 
> For a given large x, and a given b2, I need to solve
> 
> fcn[xlarge,b1,b2given]==1
> 
> for b1.
> 
> Any help would be greatly appreciated.
> 
> Matt
> 
> 


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