ABSTRACT

Consider a first-order linear homogeneous partial differential equation with two independent variables of the special form

f(x, y) ∂w

∂x + g(x, y)

∂w

∂y = 0. (13.1.1.1)

Equation (13.1.1.1) describes a steady-state distribution of the concentration of a substance in a plane flow (without regard to diffusion). Moreover, it is assumed that the fluid velocity components along the x-and y-axes are specified by the functions f and g.