Is there any solution for this distributional differential equation?
$$y - y'' = \delta(x)$$
Appreciate any references related to this equation.
2026-03-26 04:28:44.1774499324
A distributional ODE : reference request
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Yes, there are, and they are all given by $$y(x) = \frac12 e^{-|x|} + A e^x + B e^{-x},$$ where $A$ and $B$ are constants.