Thanks for writing your query.
The back pain
you are experiencing seems to be muscular in origin due to soft tissue injury
It usually take some days for complete relief. In addition to pain killer, take muscle relaxant
also like Tizanidine
. It will help in relaxing the injured muscle. Continue doing hot fomentation and apply some pain relieving gel after hot fomentation. Take medicines under medical supervision only.
If the problem persists, get a MRI
of your back done and get yourself examined by an Orthopedician.
Giving rest to the injured part, speeds up the process of healing.
I hope this is helpful to you.