Need to solve a system of equations
- To: mathgroup at yoda.physics.unc.edu
- Subject: Need to solve a system of equations
- From: peterw at chop.ugcs.caltech.edu (Peter T. Wang)
- Date: 28 Apr 1994 07:30:06 GMT
I need to find all (trivial and nontrivial) solutions of the following
system of nonlinear equations in variables d, h, and r:
m1*r*(d+h+r)^2 = (r+h/2)^2
h/2*(d+h+r)+r*d = m2*h*(d+h+r)^2
m2*d*(d+h+r)^2 = (d+h/2)^2
where m1 and m2 are arbitrary constants. I currently have three solutions:
(r,h,d) = {(0,0,0),(0,0,1/m2),(1/m1,0,0)} and there exists at least one
more solution.
Thanks,
Peter Wang
Michael Tice