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Re: DSolve

  • To: mathgroup at smc.vnet.net
  • Subject: [mg83294] Re: DSolve
  • From: "Kevin J. McCann" <Kevin.McCann at umbc.edu>
  • Date: Sat, 17 Nov 2007 05:14:19 -0500 (EST)
  • Organization: University System of Maryland
  • References: <fhc3n2$4vv$1@smc.vnet.net>

Well, first off, u[x]=0 is indeed a solution, which is obvious. You 
could try replacing the boundary conditions with variables rather 
setting both to zero if you want to see the general solution.

Kevin

Raj wrote:
> eqn = D[u[x], {x, 2}] + \[Lambda]^2 (0.25 - x^2) u[x] == 0
> DSolve[{eqn, u[-1/2] == 0, u[1/2] == 0}, u[x], x]
> 
> This returns {{u[x] -> 0}} while another CAS system returns a solution
> in terms of WhittakerW function.
> 
> Am I doing something wrong or is Mathematica not able to solve this
> equation symbolically?
> 
> Thanks,
> 
> Raj
> 
> 

-- 

Kevin J. McCann
Research Associate Professor
JCET/Physics
Physics Building
University of Maryland, Baltimore County
1000 Hilltop Circle
Baltimore, MD 21250


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