I'm interested in the boundary value problem $$y''(x)+1=\frac{1}{y(x)}, \;\quad\;\lim_{x\to0^+}y(x)=\lim_{x\to L^-}y(x)=0.$$ For what domain lengths $L$ does a solution exist on $x\in(0,L)$?
2026-03-28 19:30:50.1774726250
If $y''(x)+1=1/y(x)$ and $y(0)=y(L)=0$, then for what $L$ does a solution exist?
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