partial differential equation

• Apr 22nd 2011, 03:08 PM
Juju
partial differential equation
Hallo.
I want to solve a PDE. However I'm not sure if the way I want to do this is correct.

I don't know why, but my Latex Compiler here didn't work. So, I wrote my question in the attached file.

• Apr 22nd 2011, 08:37 PM
Prove It
I would be inclined to try Separation of Variables, but my knowledge of PDEs isn't very thorough...
• Apr 22nd 2011, 11:35 PM
Juju
I tried to use the Principle of Separation of Variables, but it didn't work. Maybe I've done some mistakes, because I'm really not very familiar with PDEs. So, I'll try it again.

Thank you,
Julia
• Apr 23rd 2011, 04:56 AM
Jester
The way you solve the system is the way you did! Pick the first order one first and substitute the solution into the second order PDE. You're actually lucky that there is a solution that satisfies both.
• Apr 23rd 2011, 05:34 AM
Juju
So, you think my approach yields in my special case to the correct solution.
But in the majority of cases, systems of second order PDEs have to be solved numerically. Am I right?
Is there a book about PDEs which you can recommend to beginners?

Thank you so much!
• Apr 23rd 2011, 06:45 AM
bugatti79
Quote:

Originally Posted by Juju
So, you think my approach yields in my special case to the correct solution.
But in the majority of cases, systems of second order PDEs have to be solved numerically. Am I right?
Is there a book about PDEs which you can recommend to beginners?

Thank you so much!

I use 'Beginning Partial Differential Equations with Peter V O Neil'