Use the Laplace transformation to solve the problem:o'u o'ux>0, t>0%3Du(0,t) = 4t + 10 sinh 1t, lim u(x,t) = 0, t>0,%3Du(x, 0) = 0, u,(x,0) 0,x > 0.%3DOa u(x.)-[4:+ 10 sinh 1]H(t-x)Ob(x)-[4(1-x)-10 sanh 1(-x) ]H(t-x)Oe ux)-[4-x) +10 sinh 1(t-x)]H(t-x)UO No correct answer

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Answered: Use the Laplace transformation to solve…

Use the Laplace transformation to solve the problem: o'u o'u x>0, t>0 %3D u(0,t) 4t+10 sinh 1t, lim u(x,t) = 0, t>0, %3D utx, 0) = 0, u,(x,0) = 0, x> 0. %3D %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

Use the Laplace transformation to solve the problem:
o'u o'u
x>0, t>0
%3D
u(0,t) = 4t + 10 sinh 1t, lim u(x,t) = 0, t>0,
%3D
u(x, 0) = 0, u,(x,0) 0,
x > 0.
%3D
Oa u(x.)-[4:+ 10 sinh 1]H(t-x)
Ob(x)-[4(1-x)-10 sanh 1(-x) ]H(t-x)
Oe ux)-[4-x) +10 sinh 1(t-x)]H(t-x)
UO No correct answer

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