I am reading an example from a book on Volterra equations but there's one point i dont understand. the book says:(adsbygoogle = window.adsbygoogle || []).push({});

for certain types of linear integrodifferential equations, the reduction can be made directly by integration. consider for instance, the linear equation:

[tex]f'(t) - \int^{t}_{0}k(t,s)f(s) ds=g(t)[/tex],

with f(0)=f_{0}. Integrating this we get:

[tex]f(t)- \int^{t}_{0}[/tex][tex]\int^{T}_{0}k(T,s)f(s) dsdT=G(t)[/tex]

I don't understand how that can be derived by integration.

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# Volterra equations

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