- #1
kgal
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Homework Statement
I have 3 equations:
[itex]\frac{\partial^2 u}{\partial t^2}+\frac{\partial^2 u}{\partial x \partial t}+\frac{\partial^2 u}{\partial x^2}[/itex]
[itex]\frac{\partial^2 u}{\partial t^2}+4\frac{\partial^2 u}{\partial x \partial t}+4\frac{\partial^2 u}{\partial x^2}[/itex]
[itex]\frac{\partial^2 u}{\partial t^2}-4\frac{\partial^2 u}{\partial x \partial t}+\frac{\partial^2 u}{\partial x^2}[/itex]
I know their classification (first one is elliptical, second one is parabolic, third one is hyperbolic).
I need to find their characteristics. How do I do that?
What is a characteristic?
I think that the one who is elliptical has no characteristic, the parabolic has only one and the hyperbolic has two.