ABSTRACT
M12.1.1. Characteristic System. General Solution ◮ Equations with two independent variables. General solution. Examples. A firstorder quasilinear partial differential equation with two independent variables has the general form
f (x, y,w) ∂w ∂x
+ g(x, y,w) ∂w ∂y
= h(x, y,w). (M12.1.1.1) Such equations are encountered in various applications (continuum mechanics, gas dynamics, hydrodynamics, heat and mass transfer, wave theory, acoustics, multiphase flows, chemical engineering, etc.).
