Talk:Abel's identity

Untitled

Somebody recently edited Wronskian to remove the "second-order" qualifier, with edit summary: "Abel's identity works for any order of linear differential equation, and some non-linear ones". I don't know if that's true or not, but the two articles should probably both say the same thing on that point. --Delirium 22:30, 11 November 2007 (UTC)[reply]

It should work for nth order linear differential equations, even if they do not have constant coefficients. The "Generalization" section at the bottom of the page mentions this. The proof is not too difficult and is covered in Tom M. Apostol's Calculus Vol. 2, pages 161 and 162. I would suggest placing the generalized version at the top, placing a proof below it, and using the second order equation as an example at the bottom. I have also seen it called "Liouville's formula," so I will add a redirect page to here.Teply (talk) 19:57, 9 March 2008 (UTC)[reply]

Main statement edit

I changed the p(t) and the dt within the integral to p(x) and dx. I'm fairly certain somebody took copied the equation from someplace where the independent variable was t and forgot to change those parts. Feel free to revert my edit if it's wrong for some reason. my edit

DrinkV0dka (talk) 06:28, 16 January 2020 (UTC)[reply]