(k) The solution of the following problem for the heat equation with nonhomge- neous boundary conditions: U4₂=Uzz 00, u(0, t) = 0, u(1, t) = 1, t≥0, u(1,0) = (x), OSI≤1. can be obtained by letting u(x, t) = v(r, t) + g(x), where g(z) satisfies: (A) g"(x) = -1, g(0) = g(1) = 0 (B) g'(x) = -1, g(0) = 0, g(1) = 1 (C) g'(x) = 0, g(0) = 0, g(1) = 1 (D) g'(x) = 0, 9(0) = 0, 9(1) = -1
(k) The solution of the following problem for the heat equation with nonhomge- neous boundary conditions: U4₂=Uzz 00, u(0, t) = 0, u(1, t) = 1, t≥0, u(1,0) = (x), OSI≤1. can be obtained by letting u(x, t) = v(r, t) + g(x), where g(z) satisfies: (A) g"(x) = -1, g(0) = g(1) = 0 (B) g'(x) = -1, g(0) = 0, g(1) = 1 (C) g'(x) = 0, g(0) = 0, g(1) = 1 (D) g'(x) = 0, 9(0) = 0, 9(1) = -1
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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