Rocky Mountain Motorcycle Show Swap Meet

Quasilinear first order partial differential first order partial differential equation in the form equation. a(x,y,u)ux +b(x,y,u)uy = f(x,y,u).() Note that the u-term was absorbed by f(x,y,u). In between these two forms we have the semilinear first order partial Semilinear first order partial differential differential equation in the form equation.