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Jan10-12, 11:21 PM
P: 10
how do you use the change of variable:
[itex]\xi[/itex] = x - ct

on the PDE
ut + c ux = 0

where u(t,x) = v(t,x-ct) = v(t,[itex]\xi[/itex])

to get

vt = 0

I am trying to follow the steps of Peter J. Olver in this document starting on pg 4 but get stuck here...i think i am missing an important calculus concept but cannot figure out what. He says to use the chain rule but i cannot figure out how that helps.

Any help GREATLY appreciated
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