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Use the Laplace transformation to solve the problem: ou ou x >0, t >0

Use the Laplace transformation to solve the problem: ou ou x >0, t >0

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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Use the Laplace transformation to solve the problem: ou , x>0, t >0 u(0, t) = 1t + 2 sinh 7t, lim u(x, t) = 0,t>0, u(x, 0) = 0, u,(x, 0) = 0, x>0. O a No correct answer O b u(x,f) = [1(+x) + 2 sinh 7(t + x) ] H(t+ x) O C u(x,t) = [1t + 2 sinh 7]H(t+ x) O d e(x, f) = [ 1(t + x) – 2 sinh 7(t + x) ] H(1+ x) %3D O @ u(x,f) = [14-x) + 2 sinh 7(: – x) ]H(t - x)
Transcribed Image Text:Use the Laplace transformation to solve the problem: ou , x>0, t >0 u(0, t) = 1t + 2 sinh 7t, lim u(x, t) = 0,t>0, u(x, 0) = 0, u,(x, 0) = 0, x>0. O a No correct answer O b u(x,f) = [1(+x) + 2 sinh 7(t + x) ] H(t+ x) O C u(x,t) = [1t + 2 sinh 7]H(t+ x) O d e(x, f) = [ 1(t + x) – 2 sinh 7(t + x) ] H(1+ x) %3D O @ u(x,f) = [14-x) + 2 sinh 7(: – x) ]H(t - x)
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