Boundary value problem:

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I have the following Boundary value problem:

find f(x,z) that satisfies:

$g(x){df(x,z)\over dz}+A{df^2(x,z)\over dzdx}+B{df(x,z)\over dx}+Cf(x,z)=0$

where g(x) is a given function. and the Boundary conditions are: f(0,z)=h(z), f(x,0)=constant

any idea? Thanks