Question: How to write boundary condition in pdsolve?

I have the PDE u_{xx}+u_{yy} = 1 with BC: u|_{x^2+y^2=1} =0 ;


how to write down the command of the BC in solving this PDE?, btw can I make maple show me how to solve this PDE analytically?


Thanks in advance.


Here are the lines that I wrote so far:

pde := diff(u(x, y), x, x)+diff(u(x, y), y, y) = 1;

ans := pdsolve(pde)


how to add the BC correctly to pdsolve? I am not sure how to write the condition x^2+y^2=1 and that u will get a value on this boundary.


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