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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Laplace Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,