code: def to_ode(self) -> HybridOde:
          
          res_split = split_dae_alg(self.f_x, self.dx)
          alg = res_split['alg']
          dae = res_split['dae']
  
          x_rhs = tangent_approx(dae, self.dx, assert_linear=True)
          y_rhs = tangent_approx(alg, self.y, assert_linear=True)
  
          return HybridOde(
              c=self.c,
              dx=self.dx,
              f_c=self.f_c,
              f_i=self.f_i,
              f_m=self.f_m,
              f_x_rhs=x_rhs,
              y_rhs=y_rhs,
              m=self.m,
              ng=self.ng,
              nu=self.nu,
              p=self.p,
              pre_m=self.pre_m,
              pre_c=self.pre_c,
              prop=self.prop,
              sym=self.sym,
              t=self.t,
              x=self.x,
              y=self.y,
          )
docs: Convert to a HybridOde