How to solve simultaneous equations?
1 view (last 30 days)
Show older comments
I am trying to use the symbolic toolbox of MATLAB to solve the following systems of equations. Given the following 8 equations
1. D1*(a - d) + D2*(b - e) - 1/2 == 0
2. a-4*D1*(a^2-a*d)+D2*(c^2-c*f)+2*D1*(b*f-e*c)==0
3. b-4*D2*(b^2-b*e)+D1*(c^2-c*f)+2*D3*(b*f-e*c)==0
4. c-2*D1*(2*a*c-a*f-d*c)+2*D2*(2*b*c-b*f-c*e)+4*D3*(d*b-a*e)==0
5. D4*d+D5*e-D7*a-D8*b==0
6. 4*D4*a*d+D5*c*f+2*D6*(a*f-c*d)+4*D7*a^2+D8*c^2==0
7. 4*D5*b*e+D4*c*f+2*D6*(c*e-b*f)+4*D8*b^2+D7*c^2==0
8. 2*D6*(b*d-a*e)-D4*(d*c+c*d)-D5*(b*f+c*b)-2*D7*a*c-2*D8*b*c==0
where (D1~D8) are constants and (a,b,c,d,e,f) are variables.
i need to solve for a, b and c in terms of D1, D2, D3, … , D7 and D8.
1 Comment
Ameer Hamza
on 21 Apr 2018
How do you expect to solve a system of 8 equations with 6 variables. The system is overdetermined. A solution will not exist unless two or more equations are linearly related.
Answers (0)
See Also
Categories
Find more on Symbolic Math Toolbox 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!