what is classification of pde of second order ?

Example of classification of pde of second order Let a, b, c, d be four differentiable functions defined on R^2. Then the partial differential equation \[\left(a\left(x,y\right)\ \frac{\partial}{\partial x}+b\left(x,y\right)\ \frac{\partial}{\partial x}\right)\ \left(c\left(x,y\right)\ \frac{\partial}{\partial x}+d\left(x,y\right)\ \frac{\partial}{\partial x}\right)u=0\] Is 1. always hyperbolic 2.…

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