Where to look for "standard" ODE solutions?

338 Views Asked by At

I remember one day having stumbled upon a nice online resource where one could look for solutions to very general ODEs (or at least the literature names thereof), but unfortunately I forgot its location... So, where can one go looking to e.g. figure out that

$$\frac{d}{dr}\left[(1-r^2)\frac{d}{dr}f(r)\right] + l(l+1)f(r) = 0$$

is the Legendre differential equation, especially if one doesn't know about this particular representation?

2

There are 2 best solutions below

1
On BEST ANSWER
1
On

Wolfram MathWorld has a long list of common ODEs with solutions: http://mathworld.wolfram.com/OrdinaryDifferentialEquation.html