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Re: How to solve this type of equation in Mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59965] Re: How to solve this type of equation in Mathematica?
  • From: Jeffrey Lyons <not-me at nospam.net>
  • Date: Fri, 26 Aug 2005 04:54:25 -0400 (EDT)
  • References: <200508241032.GAA12136@smc.vnet.net> <dek7t7$a5q$1@smc.vnet.net>
  • Reply-to: not-me at nospam.net
  • Sender: owner-wri-mathgroup at wolfram.com

On Thu, 25 Aug 2005 10:52:23 +0000 (UTC), "benshimo at bgumail.bgu.ac.il"
<bsyehuda at gmail.com> wrote:

>
>Hi,
>Is f(x) a distribution (a probability density function, actually)? Is the
>value of P known?
>yehuda
>
>On 8/24/05, poster at giganews.com <poster at giganews.com> wrote:
>>
>>
>> Hi, I would like to be able to solve the equation:
>>
>> Equal[Integrate[Times[Plus[P, x], f[x]], List[x, P,
>> DirectedInfinity[1]]], 1]
>>
>> in Mathematica. Is there any way to do this?
>>
>> That is I would like to solve for f(x) when we know that
>> integrating (x + P) f(x) from P to Infinity over x equals 1.
>>
>>
>


f(x) is not a density function.  P>0.  That is all.  The equation
should hold for all P.


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