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anonymous
 5 years ago
Partial Differential Equation
anonymous
 5 years ago
Partial Differential Equation

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright, I'll take a look.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, the easiest things to see is that anything with a square is nonlinear. I'm not certain what they mean by "semi" and "quasi" linear, to be honest.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The orders are the highest derivative in each equation, although I need to find my book on inseparable equations to be sure whether it's with respect to a single variable only or not (I believe it is).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So gamma and delta are 3rd and 4th order linear, respectively.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alpha and beta are both second order, but I view them as both nonlinear. But I caution on this one, I'm not familiar with quasilinear classifications.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright, the second part is a lot easier than I was trying to make it. You find the discriminant of each equation. If its zero, it's parabolic. If it's positive, its hyperbolic, negative, it's elliptic.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm sure you're familiar with characteristic equations, so I'll skip that one.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The last problem is simply doing what you know to do, and using the initial/boundary conditions to solve the PDE. Solve the general form as much as possible, finding the general and particular solutions, then solve for the coefficients if needed.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Any problems with solving the PDE?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, I have to go. You seem to either be busily working or have stepped away. I hope I helped in some way. Good luck!
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