How to solve simultaneous equations?

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wonsoek lee
wonsoek lee 2018-3-29
评论： Ameer Hamza 2018-4-21
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 个评论
Ameer Hamza
Ameer Hamza 2018-4-21
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.

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