Q about Nonlinear Simul. Eq
- To: mathgroup at smc.vnet.net
- Subject: [mg3716] Q about Nonlinear Simul. Eq
- From: Jinchul Park <jinchulp at usc.edu>
- Date: Wed, 10 Apr 1996 02:12:57 -0400
- Organization: University of Southern California, Los Angeles, CA
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
I'm a newbie in this group. I have a question about solving nonlinear
simultaneous equation. Please forgive me if my question is trivial.
Is there any built-in function solving nonlinear simultaneous equations
in Mathematica? Or do I have to make a subroutine or a function to do
that?
Currently I'm using Mathematica v. 2.2.3 under UNIX.
The following shows a small example for your reference:
I tried to estimate x and y from this equation:
*********************************************************************
NSolve[{
x - 4 (Exp[-1 - 2x] / (Exp[-1 - 2x] + Exp[-2 - y])) == 0,
y - 4 (Exp[-2 - y] / (Exp[-1 - 2x] + Exp[-2 - y])) == 0,
x + y == 4
},
{x, y}]
*********************************************************************
After hitting shift+enter, what I get is the following message and the
output:
*********************************************************************
Solve::tdep:
The equations appear to involve transcendental functions of
the variables in an essentially non-algebraic way.
Out[1]=
-1 - 2 x
-4 E
NSolve[{------------------- + x == 0,
-1 - 2 x -2 - y
E + E
-2 - y
-4 E
------------------- + y == 0, x + y == 4}, {x, y}]
-1 - 2 x -2 - y
E + E
********************************************************************
Thank you for your help in advance.
J.C.
==== [MESSAGE SEPARATOR] ====