suggestions

PatrickT — Fri, 03 Feb 2012 13:39:47 Z

restart;
Hankel := p^2*diff(a(p),p,p)+p*diff(a(p),p)-R*a(p)+p^2*a(p)=0;
              / 2      \
            2 | d       |     / d      \             2
Hankel := p |---- a(p)| + p |--- a(p)| - R a(p) + p a(p) = 0
              |   2     |     \ dp     /
              \ dp      /
ODETools[odeadvisor](Hankel);
            [[_2nd_order, _with_linear_symmetries]]
infolevel[dsolve]:=5:
dsolve(Hankel,a(p));
Methods for second order ODEs:
--- Trying classification methods ---
trying a quadrature
checking if the LODE has constant coefficients
checking if the LODE is of Euler type
trying a symmetry of the form [xi=0, eta=F(x)]
checking if the LODE is missing 'y'
-> Trying a Liouvillian solution using Kovacic's algorithm
<- No Liouvillian solutions exists
-> Trying a solution in terms of special functions:
   -> Bessel
   <- Bessel successful
<- special function solution successful
                       / (1/2)   \              / (1/2)   \
     a(p) = _C1 BesselJ\R     , p/ + _C2 BesselY\R     , p/

Hi, I don't really understand your solution,

serena88 — Sun, 05 Feb 2012 23:05:20 Z

Hi, I don't really understand your solution, could you please explain what are the "/" and "\" symbols please? Thank you.

MaplePrimes - answers and comments on Question, Solving Hankel Function

suggestions

Hi, I don't really understand your solution,