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Solve the following partial differential equation with the given conditions: 8² u Ju Əx² Ət' u(-1, t) = 0, u(1, t) = 1, t> 0, = (x,0) - (x - 2) - (x + 1). = U You may use the Laplace or Fourier transform in your solution. -1 < x < 1.

Solve the following partial differential equation with the given conditions: 8² u Ju Əx² Ət' u(-1, t) = 0, u(1, t) = 1, t> 0, = (x,0) - (x - 2) - (x + 1). = U You may use the Laplace or Fourier transform in your solution. -1 < x < 1.

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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Question
Solve the following partial differential equation with the given conditions: 8²u ди əx² Ət' u(-1, t) = 0, u(1, t) = 1, t> 0, = * (₁ - ²2 ) - * ( x + ¹). You may use the Laplace or Fourier transform in your solution. u(x,0) = (x - -1 < x < 1.
Transcribed Image Text:Solve the following partial differential equation with the given conditions: 8²u ди əx² Ət' u(-1, t) = 0, u(1, t) = 1, t> 0, = * (₁ - ²2 ) - * ( x + ¹). You may use the Laplace or Fourier transform in your solution. u(x,0) = (x - -1 < x < 1.
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