how to solve non linear system of equations with variable coefficients in matlab

eq1=a-(b*z*x)/(c + x)-d*x;

eq2=e-(f*y*w)/(g + w) - h*y;

eq3=(-b*z*x)/(c + x) + (f*y*w)/(g + w) + (m*z*x)/(y - n) - u*z;

eq4=(b*z*x)/(c + x) - (f*y*w)/(g + w) - v*w;

[Torsten]

What is given, what is unknown ?

Answer 1

[Torsten]

You might first try if a symbolic solution exists:

syms a b c d e f g h m n u v w x y z
eq1=a-(b*z*x)/(c + x)-d*x == 0;
eq2=e-(f*y*w)/(g + w) - h*y == 0; 
eq3=(-b*z*x)/(c + x) + (f*y*w)/(g + w) + (m*z*x)/(y - n) - u*z == 0;
eq4=(b*z*x)/(c + x) - (f*y*w)/(g + w) - v*w == 0;
S = solve([eq1,eq2,eq3,eq4],[choose four variables you want to solve for])

Since I doubt that you get a solution, next use a nonlinear solver: Assign values to all the parameters except the four you want to solve for and call "fsolve".