I am trying to prove or find all functions $g(x)$ that will satisfy the equation 

$$g’(x)=g(x)+\int\_0^1g(x)dx$$

The only progress I have made towards an answer is that I rewrote $g’(x)=g(x)+G(1)-G(0)$. I have been staring at this for some time now, but can’t come up with anything.