Dear Ajfarroll,

1. Are you able to ping the database server from the application server?

2. Are you able to connect the SQL Server using SSMS

3. Check the firewall on the database server and application server and add an exception of port 1433 if not already present.

4. SQL Server Database and Browser service should be turned on. (Needs to be check from SQL Server Configuration Manager on the database server).

5. Check for the SQL Server Network protocols. Named Pipes, TCP/IP etc

I am pretty sure you will find your issue in one of these points.

Hope it helps..!!

Regards

Shafat Husain