Fredholm K(x,y)=xy on [0,1]: eigenvalue λ=3 exact

Layer 0 — Mathematicsin the integral-equations subtree

Exact symbolic solution of the 2nd-kind Fredholm eigenvalue equation φ(x) = λ·∫_0^1 x·y·φ(y) dy with rank-1 degenerate kernel K(x,y) = x·y on [0,1]. Ansatz φ(x) = A·x (forced by the rank-1 structure: the operator Kφ produces an output…

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