I want to solve $$\int_{-1}^{1}f(x)\ln\left(\frac{1}{|x-y|}\right)dx=1$$ Where f(x) is unknown function. i want to solve these equation and how to convert it to matrix form.
2026-03-27 02:39:44.1774579184
how to solve first kind freholm integral equation .
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If I am not wrong, applying the result from EqWorld,$$f(x)=-\frac{1}{\pi\ln 2}\frac{1}{\sqrt{1-x^2}}$$