Dressy casual may seem like a confusing dress code, but its really quite simple. It's about dressing up what you'd wear casually. Think about what you may wear to church or a work meeting. Not quite as casual as jeans, but not so fancy you have to wear a 3-piece suit, or a floor length dress.
Here's a general dress code overview:
https://www.cosmopolitan.com/style-beauty/fashion/a30474742/dressy-casual-dress-code-meaning/
For the guys that need some ideas or extra descriptors(because Tristan was also confused):