'If the explicit right hand side of the combined equations of motion
is to provided upon initialization, this method will calculate it. This
calculation can potentially take awhile to compute.'

def compute_explicit_form(self):

    if (self._comb_explicit_rhs is not None):
        raise AttributeError('comb_explicit_rhs    is    already    formed.')
    else:
        try:
            inter1 = self.kin_explicit_rhs
            inter2 = self._dyn_implicit_mat.LUsolve(self._dyn_implicit_rhs)
            out = inter1.col_join(inter2)
        except AttributeError:
            out = self._comb_implicit_mat.LUsolve(self._comb_implicit_rhs)
    self._comb_explicit_rhs = out
