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

*To*: mathgroup at smc.vnet.net*Subject*: [mg96215] Re: I have an operator, How do I DSolve it?*From*: dh <dh at metrohm.com>*Date*: Mon, 9 Feb 2009 05:36:56 -0500 (EST)*References*: <gmndhs$s04$1@smc.vnet.net>

Hi Aaron, simply use: DSolve[B[m, S][r] == 0, S[r], r] Daniel Aaron Fude 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 >