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Use the Laplace transformation to solve the problem: x >0, t>0 %3D 2

Use the Laplace transformation to solve the problem: x >0, t>0 %3D 2

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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Quèstion 2 Use the Laplace transformation to solve the problem: x >0, t>0 u(0,t) = 6t – 12 sinh 8t, lim u(x, t) = 0, t >0, X- 00 u(x, 0) = 0, u,(x, 0) = 0, O a (x.) = [6(:- x) - 12 sinh 8(t - x)]H(:- x) x >0. Ob.u(x,t) = [6(:- x) + 12 sinh 8(t- x)]H(1- x) OC No correct answer Od z(x, t) = [6t + 12 sinh 8t]H(t-x) Oe u(x,1) = [6(t + x) - 12 sinh 8(t + x) ]H(t + x) L» A Moving to another question will save this response. pe here to search
Transcribed Image Text:Quèstion 2 Use the Laplace transformation to solve the problem: x >0, t>0 u(0,t) = 6t – 12 sinh 8t, lim u(x, t) = 0, t >0, X- 00 u(x, 0) = 0, u,(x, 0) = 0, O a (x.) = [6(:- x) - 12 sinh 8(t - x)]H(:- x) x >0. Ob.u(x,t) = [6(:- x) + 12 sinh 8(t- x)]H(1- x) OC No correct answer Od z(x, t) = [6t + 12 sinh 8t]H(t-x) Oe u(x,1) = [6(t + x) - 12 sinh 8(t + x) ]H(t + x) L» A Moving to another question will save this response. pe here to search
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