code: def prde_no_cancel_b_large(b, Q, n, DE):
      """
      Parametric Poly Risch Differential Equation - No cancellation: deg(b) large enough.
  
      Explanation
      ===========
  
      Given a derivation D on k[t], n in ZZ, and b, q1, ..., qm in k[t] with
      b != 0 and either D == d/dt or deg(b) > max(0, deg(D) - 1), returns
      h1, ..., hr in k[t] and a matrix A with coefficients in Const(k) such that
      if c1, ..., cm in Const(k) and q in k[t] satisfy deg(q) <= n and
      Dq + b*q == Sum(ci*qi, (i, 1, m)), then q = Sum(dj*hj, (j, 1, r)), where
      d1, ..., dr in Const(k) and A*Matrix([[c1, ..., cm, d1, ..., dr]]).T == 0.
      """
      db = b.degree(DE.t)
      m = len(Q)
      H = [Poly(0, DE.t)] * m
  
      for N, i in itertools.product(
          range(n, -1, -1), range(m)
      ):  # [n, ..., 0]
          si = Q[i].nth(N + db) / b.LC()
          sitn = Poly(si * DE.t**N, DE.t)
          H[i] = H[i] + sitn
          Q[i] = Q[i] - derivation(sitn, DE) - b * sitn
  
      if all(qi.is_zero for qi in Q):
          dc = -1
      else:
          dc = max([qi.degree(DE.t) for qi in Q])
      M = Matrix(dc + 1, m, lambda i, j: Q[j].nth(i), DE.t)
      A, u = constant_system(M, zeros(dc + 1, 1, DE.t), DE)
      c = eye(m, DE.t)
      A = A.row_join(zeros(A.rows, m, DE.t)).col_join(c.row_join(-c))
  
      return (H, A)
  
imports: import itertools
  from functools import reduce
  from sympy.core.intfunc import ilcm
  from sympy.core import Dummy, Add, Mul, Pow, S
  from sympy.integrals.rde import order_at, order_at_oo, weak_normalizer, bound_degree
  from sympy.integrals.risch import gcdex_diophantine, frac_in, derivation, residue_reduce, splitfactor, residue_reduce_derivation, DecrementLevel, recognize_log_derivative
  from sympy.polys import Poly, lcm, cancel, sqf_list
  from sympy.polys.polymatrix import PolyMatrix
  from sympy.solvers import solve
label_desc: Use image node_id 8 for calling a global function with example usage: prde_no_cancel_b_large(b, Q, n, DE) and returns: H,  A