How to Solve sets of equations with constants

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How would you solve the set of equations above in Matlab so that you get the solution for c and d in terms of EI,q and L?

Thanks

Answer 1

[Star Strider]

The derivatives are uniformly 0, so the equations are constant, by definition. There is no reason to integrate them.

Try this:

syms d c EI q L 
Eqs = [2*EI*(3*d*L^2+2*c*L)+q*L^3/4-q*L^3/3; 6*EI*(2*d*L^3+c*L^2)+q*L^4/5-q*L^4/3];
[c,d] = solve(Eqs, [c,d])

producing:

c =
(L^2*q)/(60*EI)
  
d =
(L*q)/(360*EI)

Answer 2

[Torsten]

Multiply the first equation with 2 and subtract the second. d cancels out and you can solve for c.

Multiply the first equation with 3 and the second equation with 2. Then subtract the (new) second equation from the (new) first equation. c cancels out and you can solve for d.