Unformatted text preview: solve the initial value problem. 3. ∂ 2 u ∂t 2 = c 2 ∂ 2 u ∂x 2 ,  x  < ∞ where c 2 > 0. Find the solution of the following problems: a) u ( x,t = 0) = sech( xx ) ,u t ( x, 0) = 0; sketch the solution. b) u ( x,t = 0) = 0 ,u t ( x, 0) = U H ( x ) = { x < ,U x > } i.e. H ( x ) is the Heaviside function; sketch the solution. 4. 4.4.9 5. 4.4.10 ad; in part a there is a small misprint; use u (0 ,t ) = 0 6. 4.4.12 7. 5.3.6 ad 8. 5.3.7 9. 5.3.9 ae 10. 5.4.4 1...
View
Full Document
 Fall '08
 ABLOWITZ
 Boundary value problem, Value Problems Homework

Click to edit the document details