Make sure you have the latest drivers from the vendor's website (nvidia.com or amd.com) - the windows update ones are often old and buggy compared to those.
If you switch graphics cards (even the same company or generation) it's normally a good idea to do a full removal of the driver first (there's a tool called "DDU" - or "Display Driver Installer" - that can help with this). I've even seen issues caused by updating the drivers that can be "fixed" by a clean removal and reinstall, but they're extremely rare. If you have the latest drivers, and the issues aren't specific to dolphin (IE all OpenGL apps break in various ways) it might be worth a try cleaning the current driver then re-installing them.
If you switch graphics cards (even the same company or generation) it's normally a good idea to do a full removal of the driver first (there's a tool called "DDU" - or "Display Driver Installer" - that can help with this). I've even seen issues caused by updating the drivers that can be "fixed" by a clean removal and reinstall, but they're extremely rare. If you have the latest drivers, and the issues aren't specific to dolphin (IE all OpenGL apps break in various ways) it might be worth a try cleaning the current driver then re-installing them.