[Date Index]
[Thread Index]
[Author Index]
Solving differential equations?
 To: mathgroup at smc.vnet.net
 Subject: [mg112497] Solving differential equations?
 From: Zhiyong Shen <zshen2002 at yahoo.com>
 Date: Fri, 17 Sep 2010 06:42:56 0400 (EDT)
Following are the two differential equations:
dx/dr = [a*(1x^2+y^2)]/{r(r1)]^(1/2)2b*[r/(r1)]^(1/2)*x  0.0152*[r/(r1)]^(1/2)*xy
dy/dr = 2a*xy/[r(r1)]2b*[r/(r1)]^(1/2)*y + 0.0076*[r/(r1)]^(1/2) *(1+x^2y^2)
with initial conditions:
x(5.67)=  {a[br + (b^2*r^2 + a^2 + 0.000058*r^2)^(1/2)]}/(a^2 + 0.000058*r^2)
y(5.67)= {0.0076*r[br + (b^2*r^2 + a^2 + 0.000058*r^2)^(1/2)]}/(a^2 + 0.000058*r^2)
where r is the independent variable, x and y are dependent variables to be solved, and a and b are constant parameters.
It would be a great help to me if someone could give me a suggestion on how to solve these equations.
Sincerely,
Shen
Prev by Date:
Evaluate a Mathematica Notebook from Applescript (e.g. every morning)
Next by Date:
front end equation formatting
Previous by thread:
Re: Evaluate a Mathematica Notebook from Applescript (e.g. every morning)
Next by thread:
Re: Solving differential equations?
