Chapter 3. Second Order Linear PDEs
8 Chapter 3. Linear Second Order Equations 3.2.3 Modified Hyperbolic Form The modified hyperbolic canonical form is defined as urs +l.o.t.s. = 0, (3.27) noting that a = 0, b = 1 and c = 0 and that b2 ¡4ac > 0 still! In order to target the modified hyperbolic form, it is now necessary to choose ar2 x +brxry +cr 2 y = 0, (3.28a) as2 x +bsxsy ...
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