I'm looking for references to any known results regarding solutions to the following 2nd order ODE $y''(x)=a(x)y(x)$, where $a(x)>0$ and $x \in \mathbb{R}$. Any help would be appreciated.
2026-05-06 06:04:33.1778047473
Results for $y^{\prime\prime}(x) = a(x)y(x)$, where $a(x) > 0$.
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The classic reference on ordinary differential equations is Kamke, Differentialgleichungen I and II (in German), which features an extensive list of known ODE's and their solutions, as well as an explanation of solving techniques.
For anything more specific, you have to be more specific. Where does this ODE come from? What else is known about a(x)?