Date: Sep 13, 2013 2:50 AM
Author: quasi
Subject: Re: Building an Equation to find (Maximum Y) ie Highest Point on a curve!
mervynmccrabbe@gmail.com wrote:

>

>IS there some sort of FREE downloadable utility or website where

>I could plug in 2 equations and get a lovely elegant solution in

>terms of one variable only?

I used Maple, which is not free.

To get the y-only equation, I used the Maple command block

shown below

#---

restart:

with(Groebner):

r1:=x^4+y^4+a*(x^2)-a*(y^2)+2*(x^2)*(y^2)-b*x*y+c:

subs(y=y(x),%):

diff(%,x):

subs(diff(y(x),x)=y1,%):

subs(y(x)=y,%):

r2:=subs(y1=0,%):

rels:=[r1,r2]:

vars:=[x,y]:

bas:=gbasis(rels,plex(op(vars))):

collect(bas[1],y)=0;

#---

quasi