Thanks, that worked! My one suggestion here would be to have a way to do that from within Dexpot's own settings menus.

[FAQ] What is the (my)wechsel.ini file capable of?

Create a text file called "mywechsel.ini" in your Dexpot installation folder, use it to set Eve's .exe file to "move" and restart Dexpot. (Let me know if you need more help with that.)

It runs in a window, so I can move it back and forth between my main and external monitor. Terraria and other games I run in a window don't do this.

Does it run in a window or full-screen?

I mostly started using Dexpot so I could have Eve Online and related applications running while I work on other things, and then switch to that desktop when my group needs me for something, for example. Unfortunately, whenever I switch to the desktop that Eve is on, Eve just disappears. I can still see it running in the task manager, and I still hear sounds, music, etc., but I can't switch back to it at all. It doesn't appear in the taskbar, and I can't force it to front through task manager. It does this whether or not it's on my external monitor, and it doesn't do this with other games running in similar settings.