Solving system of linear equations in S domain?

I am trying to solve a linear system of equations within the S domain. (For those that are familiar with engineering, it is a set of nodal equations with 1/sC for the impedance of capacitors). The traditional approach of using linsolve(A,B) does not work, as 's' is an undefined variable. The elements of 'B' are also variables, and I have more equations than variables.

Any help would be greatly appreciated.

Answer 1

[Benjamin Schwabe]

Could you give the "systematic" of the equation? I basically assume, you have a system of differential-alegabric-equation. A look at the "odeexamples" might help you.