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(f) The solution of the following problem: Utt = Urx) 0 < x <1 t > 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0) = 6(x), x,0) = 0, 0 sI<1. can be obtained by letting u(x, t) = v(x, t) + g(x), where g(x) satisfies: (B) g"(x) = -1, g(0) = 1, g(1) = 0 (D) g"(x) = 0, g(0) = -1, g(1) = 0 (A) g"(x) = -1, g(0) = g(1) = 0 (C) g"(x) = 0, g(0) = 1, g(1) = 0

(f) The solution of the following problem: Utt = Urx) 0 < x <1 t > 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0) = 6(x), x,0) = 0, 0 sI<1. can be obtained by letting u(x, t) = v(x, t) + g(x), where g(x) satisfies: (B) g"(x) = -1, g(0) = 1, g(1) = 0 (D) g"(x) = 0, g(0) = -1, g(1) = 0 (A) g"(x) = -1, g(0) = g(1) = 0 (C) g"(x) = 0, g(0) = 1, g(1) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(f) The solution of the following problem: Utt = Uxx) 0 < x <1 t > 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0) = 6(x), u:(x, 0) = 0, 0<r< 1. can be obtained by letting u(x, t) = v(x, t) + g(x), where g(x) satisfies: (A) g"(x) = -1, 9(0) = 9(1) = 0 (B) g"(x) = -1, g(0) = 1, g(1) = 0 (C) g"(x) = 0, g(0) = 1, g(1) = 0 (D) g"(x) = 0, g(0) = -1, g(1) = 0
Transcribed Image Text:(f) The solution of the following problem: Utt = Uxx) 0 < x <1 t > 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0) = 6(x), u:(x, 0) = 0, 0<r< 1. can be obtained by letting u(x, t) = v(x, t) + g(x), where g(x) satisfies: (A) g"(x) = -1, 9(0) = 9(1) = 0 (B) g"(x) = -1, g(0) = 1, g(1) = 0 (C) g"(x) = 0, g(0) = 1, g(1) = 0 (D) g"(x) = 0, g(0) = -1, g(1) = 0
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