Solving System of Equations - Complex

Question

Articat 2020-7-8

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/561308-solving-system-of-equations-complex

评论： KSSV 2020-7-8

采纳的回答： KSSV

在 MATLAB Online 中打开

I want to solve a system of equatoins. It is resulting an empty structure. Any help would be greatly appreciated!

I want to solve for: xco2, xco, xo2, xo

With these 4 unkowns I have the following 4 equations:

kp1 = (xo2^(1/2) * p^(1/2)*xco) / xco2

kp2 = (xo^2*p) / xo2

1 = xco2 + xco + xo2 + xo

1/2 = (xco2 + xco) / (xco + xo + 2*xo2)

Here is the following code:

% these are just some arbitrary values I chose for kp1, kp2, and p to see if solutoins could be solved for
kp1 = 2;
kp2 = 3;
p   = 1;
syms xco2 xco xo2 xo
equation1 = (1/kp1)*((xo2^(1/2)* p^(1/2)*xco) / xco2);
equation2 = (1/kp2)*((xo^2*p) / xo2);
equation3 = xco2 + xco + xo2 + xo - 1;
equation4 = 2*((xco2 + xco) / (xco + xo + 2*xo2));
sol = solve(equation1,equation2,equation3,equation4, 'xco2 > 0', 'xco > 0'...
    ,'xo2 > 0', 'xo > 0');

When I type in "sol.xco" or any of the other symbols I am trying to solve for I get an empty structure which I can not explain. Any help would be greatly appreciated!

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Answer 1

KSSV 2020-7-8

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/561308-solving-system-of-equations-complex#answer_462572

在 MATLAB Online 中打开

Try this:

kp1 = 2;
kp2 = 3;
p   = 1;
syms xco2 xco xo2 xo
eqns = [(xo2^(1/2)* p^(1/2)*xco)/xco2 == kp1, 
        (xo^2*p)/xo2 == kp2, 
         xco2 + xco + xo2 + xo == 1,
        (xco2 + xco)/(xco + xo + 2*xo2) == 1/2] ; 
sol = solve(eqns,[xco2, xco, xo2, xo])