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Questions which deal with or solve for functions expressed in integral form, i.e., one or more unknown functions that appear under an integral sign.

3 votes

Numerical solution to an integral equation

This problem can be solved using the Laplace transform of a function $f$: $$ \hat{f}(s):=\int_0^\infty e^{-s t} f(t)\, dt. $$ Your equation can be written as $$ f(t)=1-q\int_0^t f(t-t') g(t')\, dt'. $ …
Craig Tracy's user avatar