Solving two equations with two unknowns

Question

nouha 2012-1-26

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hey

I'm trying to solve 2 equations with 2 unknowns using MATLAB

the equations are:

Q1=(q1max*K1*C1(i))/(1+(K1*C1(i))+(K2*C2(i)))

Q2=(q2max*K2*C2(i))/(1+(K1*C1(i))+(K2*C2(i)))

the constants to determine are: K1 and K2?

the data are:

C1=[0 4.67 11.68 14.75 15.398 31.02 81.89 ];

C2=[0 14.61 21.07 57.52 86.77 136.16 186.49];

q1max=189.8;

q2max=638.4;

please I need your help

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Answer 1

Walter Roberson 2012-1-26

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You cannot index an array at the imaginary constant, i, sqrt(-1) . In MATLAB, "i" is the imaginary constant unless you change it.

If you were to assign a different value to i, an index in the range 1 to 7, and solve, then you would get the answer K1=0 and K2=0 if your notation above for Q1 and Q2 is assignment. If Q1 and Q2 are known non-zero values instead, then there are non-trivial solutions.