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4. Find the solution u(x, t) of uzz = u4, 0 < x < 1, t > 0, which satisfies the boundary conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition u(x, 0) = 4 – x. Write down the complete solution u(x, t).

4. Find the solution u(x, t) of uzz = u4, 0 < x < 1, t > 0, which satisfies the boundary conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition u(x, 0) = 4 – x. Write down the complete solution u(x, t).

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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4. Find the solution u(x, t) of ugz = }u4, 0 < x < 1, t > 0, which satisfies the boundary conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition u(x, 0) = 4 – x. Write down the complete solution u(x, t).
Transcribed Image Text:4. Find the solution u(x, t) of ugz = }u4, 0 < x < 1, t > 0, which satisfies the boundary conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition u(x, 0) = 4 – x. Write down the complete solution u(x, t).
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