Problem 4. solve the IBVP on the half-line Rt: Utt – Urz = 0 (x E Rt, te R+) ult-0 = sin r = 0=|n Ur=0 = 0 COs a rove that the solution u(x, t) E C² everywhere outside the diagonal a t.
Problem 4. solve the IBVP on the half-line Rt: Utt – Urz = 0 (x E Rt, te R+) ult-0 = sin r = 0=|n Ur=0 = 0 COs a rove that the solution u(x, t) E C² everywhere outside the diagonal a t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem 4. solve the IBVP on the half-line Rt:
(x ERt, teR*)
Urr = 0
ult-0 = sin x
Utt
= COS I
Uzr=0 = 0
%3D
Prove that the solution u(r, t) E C2 everywhere outside the diagonal a t.
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