Question: Solving PDE with Cauchy Data

I want to write a code for solving following PDE with Cauchy data.
Equation:  (y-u(x,y))*(diff(u(x,y), x))+(u(x,y)-x)*(diff(u(x, y), y)) =x-y
Cauchy Data: u(x,y)=0 on xy=1.
THE CODE:
restart;
PDE := (y-u(x,y))*(diff(u(x,y), x))+(u(x,y)-x)*(diff(u(x, y), y)) =x-y;ic:=u(x, 1/x)=0;
ans := pdsolve({PDE,ic});
pdetest(ans, PDE);

Maple doesn' t give a solution.Why?

"Error, (in PDEtools:-Library:-NormalizeBoundaryConditions) unexpected occurrence of the variables {x} in the 2nd operand of u(x, 1/x) in the given initial conditions"

I

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