how can I solve 11 nonlinear equation
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Hi everybody,
I have 11 nonlinear equations which are;
f(1)=x(1)+x(2)-(C/12)*(1+gammar);
f(2)=x(3)+x(4)+0.5*x(5)+0.5*x(6)-0.5*H*(1+gammar);
f(3)=x(1)+x(7)+0.5*x(2)+0.5*x(3)+0.5*x(6)+0.5*x(7)+0.5*x(9)-(O/32+0.21*lamda*L0)*(1+gammar);
f(4)=x(10)+0.5*x(8)+0.5*x(11)-0.79*lamda*L0*(1+gammar);
f(5)=K_1-(x(1)/(x(2)*sqrt(x(7))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^-0.5;
f(6)=K_2-(x(3)/(x(4)*sqrt(x(7))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^-0.5;
f(7)=K_3-(x(3)/(x(6)*sqrt(x(4))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^-0.5;
f(8)=K_4-(x(5)/(sqrt(x(4))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^0.5;
f(9)=K_5-(x(9)/(sqrt(x(7))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^0.5;
f(10)=K_6-(x(8)/(sqrt(x(7)*x(10))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11));
f(11)=K_7-(x(11)/(sqrt(x(10))))*(p/x(1)+x(2)+x(3)+x(4)+x(5)+x(6)+x(7)+x(8)+x(9)+x(10)+x(11))^0.5;
I tried fsolve but i could not solve it. pls help!
3 Comments
Walter Roberson
on 13 Jun 2012
Please confirm that f(3) has the symbol name capital-Oh divided by 32 ?
Which are the variables, and which are the constants?
(I don't like to assume in this matter, as the computation time is considerable if I get it wrong.)
Walter Roberson
on 13 Jun 2012
Please confirm that f(3) has x(7) as its second term, and then later has +0.5*x(7) and so could have been written as 1.5*x(7) instead ?
Walter Roberson
on 15 Jun 2012
Even just solving the first 5 of the equations in 5 of the variables needs more than half an hour and 2 gigabytes of memory in Maple. That was the point that my machine ran out of resources.
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