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
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
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:
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe36acbe-6f1b-4020-ad09-271b63fcc0d3%2F9e8af985-d995-402d-81e9-2f20441eaddf%2Fqmxobx_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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