Would you know if the following ODE admit analytical solutions: $F(x)F''(x)=D(x)$ with $x\in (0,1), F(0)=0, F'(1)=0$ and where D is a continuous, negative function such that $D(0)=D(1)=0$? Does it represent any physical process? Thanks by advance for any comments.
2026-03-28 19:30:14.1774726214
A two-point boundary problem (ODE)
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