Charpit and Adomian for solving integral equations

In this paper, we consider the nonlinear partial differential equations of first order involving two independent variables. Geometrically the complete solution exists in an infinite variety. Applying Charpit's Method, we can get a two-parameter family of integral surfaces by passing integral surfaces through a suitably chosen two-parameter family of curves. Also, briefly, we will present an easier method of solution called Adomian decomposition method.