@ddljohn-- Bronchitis is very severe but a cold is not. If it's bronchitis, coughing lasts more than ten days, coughing is very loud and there might be a fever. A cold will almost always go away on its own when the person stays warm and rests. But bronchitis will not go away without some sort of treatment, almost always including antibiotics.
Symptoms of a cold are mild like runny nose, slight fatigue and sore throat.