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Re: Peculiar output from DSolve


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


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