用matlab,已知x的值,和f(x,y)=0的隐函数,如何求y已知x=linspace(-2.23,2.23,100);和隐函数sin(2^0.5*y)-0.5*sin(0.5*2^0.5*(x-y)).*sin(0.5*2^0.5*(x+y))=0,如何用matlab求与x相对应的y的值.

Question

用matlab,已知x的值,和f(x,y)=0的隐函数,如何求y
已知x=linspace(-2.23,2.23,100);
和 隐函数sin(2^0.5*y)-0.5*sin(0.5*2^0.5*(x-y)).*sin(0.5*2^0.5*(x+y))=0,如何用matlab求与x相对应的y的值.

Answer 1

h=ezplot('sin(2^0.5*y)-0.5*sin(0.5*2^0.5*(x-y)).*sin(0.5*2^0.5*(x+y))=0',[-2.23,2.23 0 1]);
x1=get(h,'XData');
y1=get(h,'YData');
x=linspace(-2.23,2.23,100);
y=interp1(x1,y1,x);
hold on
plot(x,y,'r')
使用ezplot函数来实现吧.先画出图像,然后图像上取点进行插值.当然这样可能不够精确.
要想更精确就给定一个x,然后只用数值方法求y.