Is there a general solution to(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{d}{dt}\left[p(t)\frac{dx(t)}{dt}\right] + q(t)x(t) = 0 [/tex]

for [itex] x(t) [/itex] when [itex] p(t) [/itex] and [itex] q(t) [/itex] are arbitrary functions? Better yet, does this question have a name, or some identifier, that I could look in to? It might appear more familiar written as

[tex] \left[p(t)x^\prime\right]^\prime + q(t)x = 0 [/tex]

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# Identifying a second-order ODE

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