differential equation

*To*: mathgroup at yoda.physics.unc.edu*Subject*: differential equation*From*: Hassan Saleh <salehh at jacobs.cs.orst.edu>*Date*: Mon, 29 Jun 92 21:39:01 -0700

Mathematica does not support the solutions of differential equations of the form g(x)f'' + g (x)f' + a f = 0 2 n 1 n n n particularly Legendre differential equations even though orthogonal polynomials are built into the kernel. Is there any particular reason for this ? I tried ( among others ) DSolve[(1-x^2) y''[x] - 2x y'[x] + n(n+1) y[x] == 0, y[x], x] which returned unevaluated. The result should be y = c[1] LegendreP[n, x] + c[2] LegendreQ[n, x]. Does someone have any idea what is going on ? H. I. SALEH salehh at jacobs.cs.orst.edu