The big difference between them is the color. Also, I wouldn't recommend taking antibiotics for anything. Let your body adjust and it will handle the phlegm on its own.
Give it a week. If it's not out of your system, then give kooky modern medicine a chance.
If you're feeling poorly and coughing up green or yellow sputum, particularly if you also feel short of breath, see your doctor, it's possible you may have a serious lung infection and would benefit from antibiotics.
The color of the phlegm can sometime distiguish between a viral illness and bacterial pneumonia. In general, clear is ok, yellow and green may be something to worry about, but red, brown and white are concerning. If you have a pneumonia you need an antibiotic.
OTC meds can treat the symptoms but will not get rid of the infection. I hope you feel better.
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