Strange behaviour of DSolve
- To: mathgroup at smc.vnet.net
- Subject: [mg27901] Strange behaviour of DSolve
- From: "Sebastien de Menten" <sdementen at hotmail.com>
- Date: Fri, 23 Mar 2001 04:31:21 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
In Mathematica 4.1:
DSolve[{-r v[x,y]+D[v[x,y],x]-(y(r+1/2 s^2))D[v[x,y],y]==0},v[x,y],{x,y}]
=> {{v[x, y] -> E^(r*x)*C[1][E^((2*r*x + s^2*x + 2*Log[y])/2)]}}
DSolve[{-r v[x,y]+D[v[x,y],x]-(y(r+1/2 s^2))D[v[x,y],y]==0},v[x,y],{y,x}]
=> {{v[x, y] -> C[1][x + (2*Log[y])/(2*r + s^2)]/y^((2*r)/(2*r +
s^2))}}
So, only switching the order of the list of the variable ( {x,y} or {y,x} ),
I obtain different solutions.
Does anybody have a guess of the problem ?
Sebastien