Known to me examples of L.I. functions having Wronskian=0 have also product=0. One such example was manufactured by Peano about 1890. By the way: Analytic functions with a zero Wronskian are linearly dependent - done by Bucher in 1900. I have a proof which is a bit simpler than Bucher`s and has less than 2 pages.
2026-03-30 17:38:39.1774892319
Find two linearly independent functions with a zero Wronskian but a nonzero product.
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