Suppose f is an analytical function of the complex variables given by:

where g(x,y) is a real valued function of real variables x and y. If g(2,3)=1, then g(7,3)=?

From reading my book, I understand this going to be treated somewhat similar to a solving a differential equation; however, I am not sure what to do. I haven't made it to this section yet in Complex Analysis but in a week I have the GRE Math Subject Test and this is a practice question.