Re: I have an operator, How do I DSolve it?

*To*: mathgroup at smc.vnet.net*Subject*: [mg96223] Re: [mg96159] I have an operator, How do I DSolve it?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Mon, 9 Feb 2009 05:38:25 -0500 (EST)*Reply-to*: hanlonr at cox.net

B[m_, f_] := (D[f[#], {#, 2}] + 1/# D[f[#], {#, 1}] + (1 - m^2/#^2) f[#]) & DSolve[B[m, S][r] == 0, S[r], r][[1]] {S[r] -> C[1]*BesselJ[m, r] + C[2]*BesselY[m, r]} Bob Hanlon ---- Aaron Fude <aaronfude at gmail.com> wrote: ============= Hi, I have defined a differential operator, but what's the syntax for using it in DSolve? I have the Bessel operator B[m_, f_] := (D[f[#], {#, 2}] + 1/# D[f[#], {#, 1}] + (1 - m^2/#^2) f[#]) & It's the Bessel operator for now, but I will soon replace it with a different one. This is for testing puposes only. Now, how do I use it in DSolve? So far I use DSolve[S''[r] + 1/r S'[r] + (1 - m^2/r^2) S[r] == 0, S[r], r] but that's not a good solution because I have to different expressions for the same thing. I want to used B only. Many thanks in advance, Aaron