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Why DSolve Can't Solve this Simple ODE?

  • To: mathgroup at
  • Subject: [mg20818] Why DSolve Can't Solve this Simple ODE?
  • From: Benjamin Lau <yanpan at>
  • Date: Sun, 14 Nov 1999 18:14:06 -0500 (EST)
  • Organization: The Chinese University of Hong Kong
  • Sender: owner-wri-mathgroup at

Dear Sir,

   I am going to use Mathematica 3 to solve this differential equation:

DSolve[(2-x) y'''[x]+(2x-3) y''[x]-x y'[x]+y[x]==0,y[x],x]

However,it does not help me to solve this ODE

But in fact,this ODE can solve explicitly by noting that Exp[x] is one
of the Soln of the ODE
and you can use the reduction of order to find another soln.

Why mathematica can't do this?

Benjamin Lau

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