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Please don't waste time asking here. You need to go to a Alopathec Doctor rightaway; because 20 days of cough and cold in a 10 month old baby is not good and could be a sign of a respiratory infection. I understand that you are a doctor too but honestly you need to get your baby to see a regular pediatrician any time a symptom is not relieved by aternative medecine within 5 days of onset; sometimes sooner - much sooner for symtoms that could be life threatening. Ask the pediatrician what symptoms those are.
Please take your baby to the hospital to get it checked out.