This is my first attempt at an integral equation so I don't really know what's going on.
Suppose that y = y(x) satisfies the integral equation
I've split the integral at t = x to get:
Using Leibnitz's integral rule, differentiating once gives:
So now everything cancels?
I know the answer is but I just can't see how to get there from here...
Thanks in advance for any help, I've literally been working on this for days!