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General Form of a Hyperbolic Equation The general second-order linear PDE in two variables is: � ∂ 2 � ∂ � 2 + 2 � ∂ 2 � ∂ � ∂ � + � ∂ 2 � ∂ � 2 + (lower-order terms) = 0 A ∂x 2 ∂ 2 u +2B ∂x∂y ∂ 2 u +C ∂y 2 ∂ 2 u +(lower-order terms)=0 A PDE is classified as hyperbolic if the discriminant ...