  In this paper, we consider a class of singular nonlinear first order partial
differential equations $t(\partial u/\partial t)=F(t,x,u, \partial u/\partial
x)$ with $(t,x) \in \mathbb{R} \times \mathbb{C}$ under the assumption that
$F(t,x,z_1,z_2)$ is a function which is continuous in $t$ and holomorphic in
the other variables. Under suitable conditions, we determine all the solutions
of this equation in a neighborhood of the origin.
