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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: [mg51307] Re: Need Help: 1st order nonlinear differential equation
  • From: Wolfgang_Eggert at gmx.de (Wolfgang)
  • Date: Thu, 14 Oct 2004 06:35:32 -0400 (EDT)
  • References: <8bakj17y4gzj@legacy>
  • Sender: owner-wri-mathgroup at wolfram.com

I became aware that the essential lines in my previous posting are
unreadable. So let me correct for this. My problem is:

I need to solve the following 1st order nonlinear differential
equation. I am really stuck. DSolve refuses to give an answer and I
need the algebraic solution for a[Z].


Derivative[1][a][Z] == (a[Z]*((-1 + n)*r* (n - Z*(2*\[Delta] +
\[Rho])) + n*(1 + r - n*r)*a[Z]))/ ((-1 + n)*(n*(-1 + r) -
2*r)*r*Z*(-n + Z*\[Delta] + n*a[Z]))

where

1 >= a >= 0 && n > 2 && Z > 0 && 1 > \[Delta] > 0 && 1 > \[Rho] > 0 &&
1 > r > 0 && 0 < r < n/(-2 + n)


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.)?


Any help is greatly appreciated. Thank you for your time.


Respectfully;
Wolfgang


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