matlab solve function examples.

http://homepages.ulb.ac.be/~dgonze/INFO/matlab.html

Solving equations

To solve equations symbolically
eq1=sprintf('a-(b+1)*x+x^2*y');
eq2=sprintf('b*x-x^2*y');

sol=solve(eq1,eq2,'x','y');

sol.x
sol.y

To solve equations numerically
a=2;
b=5.2;

eq1=sprintf('%d-(%d+1)*x+x^2*y',a,b);
eq2=sprintf('%d*x-x^2*y',b);

sol=solve(eq1,eq2,'x','y');

sol.x
sol.y

Selecting real solutions
eq1=sprintf('2/(1+Y^4)-X=0');
eq2=sprintf('2/(1+X^4)-Y=0');

sol=solve(eq1,eq2,'X','Y');

sol.X
sol.Y

x=eval(sol.X)
y=eval(sol.Y)

k=find(imag(x)==0);

sol=[x(k) y(k)]