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His dry cough
may be related to: gastroesophageal reflux disease
), post nasal drip
If the cough is worse at night or early morning then it may be related to asthma. Your doctor may want to consider lung function tests to determine whether this is a possibility. If there are abnormal then inhalors would be used.
IF the lung function test does not demonstrate the typical findings of asthma then it is possible that the cough is related to GERD or postnasal drip.
He can be given medication to treat these to see if the cough decreases.
I hope this helps