Is it compatible

Solution
Yes, but you would need a better PSU with a power connector for that.
You could get away with a 750ti withour the PSU switch, or, the best card that woudl just work is this: https://www.asus.com/Graphics-Cards/GTX950-2G/
Yes, but you would need a better PSU with a power connector for that.
You could get away with a 750ti withour the PSU switch, or, the best card that woudl just work is this: https://www.asus.com/Graphics-Cards/GTX950-2G/
 
Solution

Eximo

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Basic model came with a GT630 and a 300W power supply. I would not run a GTX560 on such a small power supply.

GTX750ti or a 70W GTX950 would work without having to get a new power supply. However, if the 560 is what is available, then I recommend a decent 430W supply.

Physically the GTX560 might be too large. The GT630 they list is low-profile capable. You'll need to confirm if the case has two available slots and if they are full height. (If you see more then two video connectors in a single slot, that generally indicates that it is full height)