- #1
Hendrick
- 43
- 0
Homework Statement
Find the link between constants [tex]\omega[/tex] and [tex]\beta[/tex]
so that http://www4e.wolframalpha.com/Calculate/MSP/MSP181963g2e5f4i43d3b00005ief8e24920ah323?MSPStoreType=image/gif&s=20
is a solution of [tex]\frac{\partial^{2} u}{\partial x^{2}}=2\frac{\partial u}{\partial t}[/tex]
(A & B are constants)
Homework Equations
I think that [tex]\frac{\partial^{2} u}{\partial x^{2}}=2\frac{\partial u}{\partial t}[/tex] could be in the form of a 1D heat equation
The Attempt at a Solution
[tex]\frac{\partial^{2} u}{\partial x^{2}}=[/tex]http://www4e.wolframalpha.com/Calculate/MSP/MSP13061963dh6ehe94f57b000031ii70cfaaf938aa?MSPStoreType=image/gif&s=24
[tex]2\frac{\partial u}{\partial t}=[/tex]http://www4e.wolframalpha.com/Calculate/MSP/MSP12211963dh8b7ca90e2d000034i7h8i9cfgdbif7?MSPStoreType=image/gif&s=27
I've tried to equate the two PDEs above to solve for [tex]\omega[/tex] and [tex]\beta[/tex] but I can't work out a solution for them, therefore I think I'm going about this problem the wrong way.
Any help would be appreciated, thank you.
Last edited by a moderator: