Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Q1.Solve the following IVP by mean of the Laplace transform P.D.E. u = a²uxx -∞0 < x < ∞0,0 < t <∞ I.C. u(x,0) = sinx, -∞ < x <∞

Q1.Solve the following IVP by mean of the Laplace transform P.D.E. u = a²uxx -∞0 < x < ∞0,0 < t <∞ I.C. u(x,0) = sinx, -∞ < x <∞

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
See similar textbooks
icon
Related questions
Question
Q1.Solve the following IVP by mean of the Laplace transform P.D.E. u a²uxx -00<X<0,0<t<o I.C. u(x,0) = sinx, -∞ < x <∞ Q2. Solve the Finite vibrating string described by the IBVP P.D.E. ut a²uxx = B.Cs. (u(0,t) = 0 lu(L, t) = 0 I.C. (u(x,0) = sin(¹) \u(x,0)= (EG)sin(E) Q3. Solve the simple concentration problem ,0<x<L, 0 < t <∞ ,0 < t <∞0 ,0 ≤x≤L P.D.E. xu+u = 0,00<x<∞, 0<t<∞ I.C. u(x,0) = cos x, -∞0 < x <∞ By Method of Characteristics.
Transcribed Image Text:Q1.Solve the following IVP by mean of the Laplace transform P.D.E. u a²uxx -00<X<0,0<t<o I.C. u(x,0) = sinx, -∞ < x <∞ Q2. Solve the Finite vibrating string described by the IBVP P.D.E. ut a²uxx = B.Cs. (u(0,t) = 0 lu(L, t) = 0 I.C. (u(x,0) = sin(¹) \u(x,0)= (EG)sin(E) Q3. Solve the simple concentration problem ,0<x<L, 0 < t <∞ ,0 < t <∞0 ,0 ≤x≤L P.D.E. xu+u = 0,00<x<∞, 0<t<∞ I.C. u(x,0) = cos x, -∞0 < x <∞ By Method of Characteristics.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS