Re: [math-fun] Simultaneous solutions of 2 eqns., 2 unknowns

----- Original Message ----

From: Dan Asimov <dasimov@earthlink.net> To: math-fun <math-fun@mailman.xmission.com> Sent: Friday, September 26, 2008 1:55:02 PM Subject: [math-fun] Simultaneous solutions of 2 eqns., 2 unknowns

I have 2 equations in x & y, each of form

trig(x) + P(x,y) = 0

where trig is sin or cos, and P is a real polynomial of degree 3 or 4.

________________________________ In Maple 12:

...

fsolve({cos(y) = x^4+y^4, sin(x) = x^3+y^3}, {x, y}); {x = 0.9667490675, y = -0.4317536212}

Gene

In Macsyma Minus Infinity: (c9) newton([cos(y) = x^4+y^4,sin(x) = x^3+y^3],[x,y],[1.0d0,-0.5d0]) (d9) [x = 0.96674906753953d0, y = - 0.43175362116676d0]