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