Differential Equations Lecture Work Solutions 257

Differential Equations Lecture Work Solutions 257 - 7. To...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 7. To show that u(x, t) = f (x − tu) is a solution of ut + uux = 0 we differentiate. ut = ∂f ∂ (x − tu) ∂ (x − tu) ∂t =−u ux = ∂f ∂ (x − tu) ∂ (x − tu) ∂x =1 Substitute in the equation: ut + uux = −u ∂f ∂f +u =0 ∂ (x − tu) ∂ (x − tu) 257 ...
View Full Document

This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

Ask a homework question - tutors are online