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Çó½â·½³Ì×é   x^2+x*y+y^2-10=0   x^2*y+x*y^2-y^3+10=0
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2Â¥2016-11-21 13:30:10
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ÓÀÔ¶aaСÓî(jjdg´ú·¢): ½ð±Ò+2, ÏȸÐл²ÎÓ룬ʣϵĿ´lz·¢ 2016-11-21 18:35:12
syms x,y ;[x,y]=solve('x^2+x*y+y^2-10=0','??x^2*y+x*y^2-y^3+10=0','x','y');

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3Â¥2016-11-21 14:20:46
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pdl9527

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function question_8
%2016-11-23
clear;clc
%plot functions to find out the potential solvetion which can be used as the initial point of fsolve.
p1=ezplot('x^2+x*y+y^2-10');hold on
p1.LineStyle = '-';
p1.Color = 'r';
p1.LineWidth=1.5;
p2=ezplot('x^2*y+x*y^2-y^3+10');hold off
p2.LineStyle = '-';
p2.Color = 'b';
p2.LineWidth=1.5;
title('f1: x^2+x*y+y^2=10            f2: x^2*y+x*y^2-y^3=-10')
legend({'f1','f2'},'FontSize',13);
legend('boxoff');
grid minor
%accodting to the figure, the potential solution in the area, where x>0, is around (0.8,2.6), let's set x0=[1 2.5];
fsolve(@(x) [x(1)^2+x(1)*x(2)+x(2)^2-10;x(1)^2*x(2)+x(1)*x(2)^2-x(2)^3+10;],[1 2.5])
4Â¥2016-11-24 07:10:33
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

dingd

Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)

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1stOptºÜ¼òµ¥µÄ£º
CODE:
Parameter x>0;
Function x^2+x*y+y^2-10=0;
         x^2*y+x*y^2-y^3+10=0;

Ψһ½â£º

x: 0.88238542875242
y: 2.62736508471183
5Â¥2016-11-24 15:55:18
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