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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,