Consider the inhomogeneous wave equation - c?uxx = f (x,t), Utt - where 1 ifx > 0, if x < 0. f(x, t) = (a) Consider the zero initial condition u(x,0) = 0, u¡ (x,0) = 0 for all x e R. On which domain (of (x, t)) does the solution vanish? (b) Consider the same equation but with initial condition |1 х<-1, и (х,0): U; (x, 0) = 0 for all x, 0 x> 1, on which domain does u vanish?
Consider the inhomogeneous wave equation - c?uxx = f (x,t), Utt - where 1 ifx > 0, if x < 0. f(x, t) = (a) Consider the zero initial condition u(x,0) = 0, u¡ (x,0) = 0 for all x e R. On which domain (of (x, t)) does the solution vanish? (b) Consider the same equation but with initial condition |1 х<-1, и (х,0): U; (x, 0) = 0 for all x, 0 x> 1, on which domain does u vanish?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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