Thanks for your query,
Your child is having dry cough
,it will take few days to settle,continue with medication .as prescribed.
Give plenty of fluids,warm water will be soothing,give lemon tea with honey,
Give him steam inhalation for 5 to 10 minutes.
Give simple and nutritious diet,avoid fried and junk food.
In case symptoms persist get him evaluated again by pediatrician
Wishing your child good health.