Talk:Cauchy–Euler equation

Higher order
The article states that the Cauchy-Euler equation only applies to second order differential equations, but in reality it can be applied to equations of higher order as well. I'm not very good with TeX as yet, so if someone else has the wherewithal to fix it more quickly, I'd appreciate it, otherwise I'll work on it when I can. siafu 16:18, 29 September 2006 (UTC)


 * I generalized the definition. MathMartin 15:10, 1 December 2006 (UTC)

Increase Visibility
Can this topic show up in a search for "Euler equation" or "Euler Differential Equation" since that's what we called it at our University, and finding it using just Euler was not as easy as it should have been. Maybe a redirect? 84.59.50.72 10:40, 21 July 2007 (UTC)

There should probably be a redirect from "Euler-Cauchy equation" as well, since that term's used in the article itself. —Preceding unsigned comment added by 86.3.124.147 (talk) 14:41, 28 March 2008 (UTC)

homogeneous vs inhomogeneous
According to http://www.fiu.edu/~aladrog/CauchyEuler.pdf, Cauchy-Euler equation not only represents the homogeneous one $$x^n y^{(n)}(x) + a_{n-1} x^{n-1} y^{(n-1)}(x) + \cdots + a_0 y(x) = 0,$$ but also the inhomogeneous one $$x^n y^{(n)}(x) + a_{n-1} x^{n-1} y^{(n-1)}(x) + \cdots + a_0 y(x) = f(x).$$ But the article only tells the homogeneous one. This is not enough. I think this article should add more for the inhomogeneous one.Doraemonpaul (talk) 21:14, 2 May 2009 (UTC)