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MathGroup Archive 2004

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Re: Need Help: 1st order nonlinear differential equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51236] Re: [mg51215] Need Help: 1st order nonlinear differential equation
  • From: DrBob <drbob at bigfoot.com>
  • Date: Sat, 9 Oct 2004 04:19:11 -0400 (EDT)
  • References: <200410080655.CAA25036@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

That's totally unreadable. I recommend Omega Consulting's "Copy as InputForm" palette:

http://eclecticdreams.net/DrBob/copy_as_inputform.htm

Bobby

On Fri, 8 Oct 2004 02:55:24 -0400 (EDT), Wolfgang <Wolfgang_Eggert at gmx.de> wrote:

> I need to solve the following 1st order nonlinear differential
> equation. I am really stuck. DSolve refuses to give an answer and I
> need an algebraic solution.
>
> Derivative[1][a][Z] ==
>   -((1/n + ((r*(n - 1))/(n^2*a[Z]))*((1 - a[Z])*n - (¦� + 2*¦�)*Z))/
>     (r*(n - 1)*((n*(r - 1) - 2*r)/(n^2*a[Z]^2))*Z*((1 - a[Z])*n -
> ¦�*Z)))
>
> where
>
> \!\({0 ¡� a ¡� 1, Z ¡� 0, n > 2, 1 > ¦� > 0, 1 > ¦� > 0, 1 > r >
>     0, 0 < r < n\/\(n - 2\)}\)
>
> Does anybody know how to solve this problem? Has anybody tips how to
> impose domain restrictions while solving differential equations in
> Mathematica (version 5.0.1.0.)?
>
> Maybe I am thinking slow but I am really in trouble.
>
> Any help is greatly appreciated. Thank you for your time.
>
> Respectfully;
> Wolfgang
>
>
>
>



-- 
DrBob at bigfoot.com
www.eclecticdreams.net


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