Thanks. Ok, Now I understand. But then why do I get this answer now:

sage: z = var('z')
sage: x = var('x')
sage: y = function('y')
sage: desolve( diff(y(x),x) + y(x) - 1,y(z))
y(x) == (c + e^x)*e^(-x)    ---->???

The ode is function of x. How did it then accept y(z) with no error as what 
I am solving for?

In Maple:

dsolve( diff(y(x),x) + y(x) - 1,y(z));
Error, (in dsolve) Not an ODE w.r.t. y(z)

Do if I define y as function of x, I can't write y(x), but if I define y as 
just function, it will accept the above as valid? 

--Nasser

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