LTspice does have .wav import and export - the sample time is limited but to sub-nanosecond so its not just for audio, likewise resolution can be 32 bits
the Laplace behavioral functions are fine for .AC, there are issues for .Tran, the Laplace has to be inverted, discretized and there are advanced options you may have to set to get reasonable results
Computer Algebra Systems can be helpful, are different from discrete/matrix oriented SW like Matlab and free workalikes Octave, SciLab - full featured CAS can treat Symbolic equations, do transforms in the Symbolic domain
Maple, Mathematica are the big ones, the free stuff is way behind