Hi For All;

I need the solution of the following question:

show by Laplace transform that the solution of the integral equation

$\displaystyle f(s)=2\int_s^1\!\frac{\ tg(t) }{(t^2-s^2)^{1/2}}\, dt$

is

$\displaystyle g(s)=-\frac{1 }{\pi}\frac{\ d }{ds}\int_s^1\!\frac{\ tf(t) }{(t^2-s^2)^{1/2}}\, dt .$