If you have cough for more than 2 weeks, it has to be taken seriously and evaluated. There are quite some reasons for the cough including Tuberculosis, Cough Variant Asthma, GERD, Pneumonia etc., Steroids sometimes might mask the underlying disease.
Next Steps
Get a chest x-ray and give the Sputum for evaluation. Consult a Pulmonologist n your area.
Health Tips
Take your symptoms seriously especially if they are prolonged