Characteristics for 2nd order differential formulas

If I have a formula

$p(x)\frac{\partial^2u}{\partial x^2} + r(x)\frac{\partial^2u}{\partial x\partial y} + q(x)\frac{\partial^2 u}{\partial y^2}=f(x,y,u)$

Where $f$ possibly has first partial by-products for $u$.

Can any person offer me a functioned instance of just how to address this making use of the method of features.

Many thanks beforehand.

2019-05-13 03:36:13
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Answers: 1

See these lecture notes on the method of features for 2nd - order PDEs, where the method is related to constant isentropic circulation (gasdynamics)

2019-05-17 16:09:00