Second Order Linear Partial Differential Equations Part I
(Optional topic) Classification of Second Order Linear PDEs Consider the generic form of a second order linear partial differential equation in 2 variables with constant coefficients: a u xx + b u xy + c u yy + d u x + e u y + f u = g(x,y). For the equation to be of second order, a, b, and c cannot all be zero. Define its discriminant to be b2 ...
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