Integral equation Definition and 102 Threads

what does an equation need so that the equation can be integrated? not all of equation can be integarted right? I was quite confuse if it can be integrated or not whether I found a difficult integration. Thanx

I'm interested in studying the following equation, solving for \phi(s) given y(s): \int_0^s \frac{2r}{\sqrt{s^2-r^2}} \phi(r)dr=y(s) or in more standard form: \int_0^s K(s,r)\phi(r)=y(s) This is how I think it should be approached: The kernel,K(s,r) is singular at s=r. Thus, the...