Re: Peculiar output from DSolve

*To*: mathgroup at smc.vnet.net*Subject*: [mg36998] Re: [mg36994] Peculiar output from DSolve*From*: BobHanlon at aol.com*Date*: Sun, 6 Oct 2002 05:32:33 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

In a message dated 10/4/2002 5:13:02 AM, selwynh at earthlink.net writes: >In: DSolve[y*D[u[x, y],x] == x*D[u[x, y],y], u[x,y], {x, y}] > >Out: {{u[x, y] -> C[1][(1/2)*(x^2 + y^2)]}} > >Square brackets are used as grouping symbols in the result!?? :^O > >Somebody say it isn't so. > "It isn't so" The square bracket is not delineating a factor it is enclosing the argument to an arbitrary function named C[1]. While the function is dependent on both x and y the dependence only occurs in the combination (x^2+y^2). Bob Hanlon