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]

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Identifying a second-order ODE

**Physics Forums | Science Articles, Homework Help, Discussion**