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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def to_ode(self) -> HybridOde: """Convert to a 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,
        )