How to solve this non-linear simultaneous equation?

2 views (last 30 days)
syms C1 C2 C3 C4 C5 C6 C7
(((y116(1))/(C1 + C2 + C3 + C4 + C5 + C6 + C7))*X{3}) + (((y116(2))/C3 + C4 + C5 + C6)*X{4}) + ...
(((y116(3))/C2 + C5 + C6 + C7)*X{5}) + (((y116(4))/C4 + C7)*X{6}) + (((y116(5))/C6 + C7)*X{7}) + ...
(((y116(6))/C1 + C7)*X{8}) + (((y116(7))/C2 + C3 + C7)*X{9}) + (((y116(8))/C1 + C2 + C4 + C5 + C7)*X{10}) + ...
(((y116(9))/C2 + C3 + C4 + C6 + C7)*X{11}) + (((y116(10))/C1 + C4 + C5 + C6 + C7)*X{12}) + ...
(((y116(11))/C1 + C3 + C6 + C7)*X{13}) + (((y116(12))/C3 + C5 + C7)*X{14}) + (((y116(13))/C5 + C7)*X{15}) + ...
(((y116(14))/C1 + C2 + C7)*X{16}) == (X{3} + X{4} + X{5} + X{6} + X{7} + X{8} + X{9} + X{10} + X{11} +X{12} + X{13} + X{14} + X{15} + X{16})
I write this equation into MATLAB and run it. The result comes out as :
2*C2 + C3 + 2*C4 + 2*C5 + 2*C6 + 5*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 586/C1 == 6
2*C2 + 2*C3 + 2*C4 + 2*C5 + 2*C6 + 5*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 288/C1 + 258/C2 == 6
3*C3 + 2*C4 + 2*C5 + 3*C6 + 4*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 104/C1 + 176/C2 + 90/C3 == 6
C2 + C3 + 4*C4 + 3*C5 + 3*C6 + 4*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 255/C1 + 93/C2 + 50/C3 + 29/C4 == 6
C2 + 3*C4 + 5*C5 + 3*C6 + 5*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 255/C1 + 82/C2 + 90/C3 + 29/C5 == 7
2*C3 + 3*C4 + 3*C5 + 5*C6 + 5*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 209/C1 + 175/C2 + 50/C3 + 27/C6 == 7
2*C2 + 3*C3 + 4*C4 + 5*C5 + 5*C6 + 12*C7 + 165/(C1 + C2 + C3 + C4 + C5 + C6 + C7) + 586/C1 + 258/C2 + 90/C3 + 29/C4 + 29/C5 + 27/C6 == 14
How to solve this equation to find C1, C2, C3, C4, C5, C6, C7 ?
  2 Comments
Alex Sha
Alex Sha on 16 Jun 2020
There are two solutions:
1:
c1: -6.86370996441933
c2: -16.2014399178883
c3: -27.492242477891
c4: -1.44190867129245
c5: -0.365190121706579
c6: -0.635231280035342
c7: 32.8706934181504
Feval:
2.8421709430404E-14
-7.28306304154103E-14
-9.85878045867139E-14
3.19744231092045E-14
2.8421709430404E-14
-4.9737991503207E-14
-3.5527136788005E-14
2:
c1: 6.39167498256291
c2: 12.4110032956383
c3: 25.8351415263511
c4: 1.40130483246744
c5: 0.373085024512327
c6: 0.690759107464528
c7: -30.2069654590374
Feval:
-2.55795384873636E-13
-2.16715534406831E-13
-2.1316282072803E-13
-1.88293824976427E-13
-2.98427949019242E-13
-2.34479102800833E-13
-5.6843418860808E-13

Sign in to comment.

Answers (0)

Categories

Find more on Systems of Nonlinear Equations in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!