18 [18] Find the solution in the form of Fourier integrals:U₁ - 3x = 0,uz (0, t) = 0,|u(x, t) bounded as a →∞o,sin au(x, 0) = {x € [0, π],x € (π, ∞0).x > 0, t > 0,t> 0,t> 0,

We have the following partial differential equation : ut - 3uxx = 0 , x,t > 0 With boundary…

Answered: Find the solution in the form of…

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.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 28E

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Find the solution in the form of Fourier integrals: U₁-3 = 0, uz (0, t) = 0, |u(x, t) bounded as zoo, sin a u(x, 0) -{d T€ [0, π], x € (π,00). x>0,t> 0, t> 0, t> 0,