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1. Classification of second-order linear p.d.e.
This paragraph is designed to distinguish three types of equation, which are different both mathematically (properties of solutions, methods of demonstration) and physically.
First, let's look at the case of p.d.e.s dependent on two real variables.
Definition 1.
The partial differential equation (E) given in the introduction :
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Classification of second-order linear p.d.e.
A hyperbolic equation: the wave equation
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