Re: Need Help: 1st order nonlinear differential equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg51251] Re: [mg51215] Need Help: 1st order nonlinear differential equation*From*: Wolfgang Eggert <Wolfgang_Eggert at gmx.de>*Date*: Sun, 10 Oct 2004 01:57:28 -0400 (EDT)*References*: <200410080655.CAA25036@smc.vnet.net> <opsfkkolkviz9bcq@monster.cox-internet.com>*Sender*: owner-wri-mathgroup at wolfram.com

Bob, thank you very much. At 23:01 08.10.2004, you wrote: >That's totally unreadable. I recommend Omega Consulting's "Copy as >InputForm" palette: > >http://eclecticdreams.net/DrBob/copy_as_inputform.htm > >Bobby 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 \[GreaterEqual] a \[GreaterEqual] 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.)? Maybe I am thinking slow but I am really in trouble. Any help is greatly appreciated. Thank you for your time. Respectfully; Wolfgang

**References**:**Need Help: 1st order nonlinear differential equation***From:*Wolfgang_Eggert@gmx.de (Wolfgang)