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6. Find the solution u(r, t) of u = tut, 0 < x < 3, t> 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and u(x, 0) = 2 sin() – 3sin(27r). Write down the complete solution u(x, t). %3D

6. Find the solution u(r, t) of u = tut, 0 < x < 3, t> 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and u(x, 0) = 2 sin() – 3sin(27r). Write down the complete solution u(x, t). %3D

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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6. Find the solution u(x, t) of u = tut, 0 < x < 3, t > 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and u4(x, 0) = 2 sin() – 3 sin(27r). Write down the complete solution u(x, t). %3D
Transcribed Image Text:6. Find the solution u(x, t) of u = tut, 0 < x < 3, t > 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and u4(x, 0) = 2 sin() – 3 sin(27r). Write down the complete solution u(x, t). %3D
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