
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question
thumb_up100%
Use the definition of Laplace Transform, F(s)=∫∞0e-sx*f(s)dx to show that L{f'(x)}=s*F(s)-f(0).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
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.Similar questions
- Part A) How that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In particular conclude that L(ty'(t)) = −sF'(s)−F(s), where F'(s) is the derivative of F(S). Part B) Use the result in Part A in order to solve the following Euler type DE using Laplace transform where y'' + 2ty' − 4y = 1, y(0) = 0, y'(0) = 0.arrow_forwardFind the Laplace transform F(s) = L{f(t)} of the function f(t) = et 4h(t – 4), defined on the interval t > 0. F(s) = L{et 4h(t - 4)} = e^(t-4)t-4e^(t-4) help (formulas)arrow_forwardFind the Laplace Transform - Given answer: e^(-s)[1/(s^2)+1/s]arrow_forward
- Find the Laplace transform,F(s) of the function f(t)=(e^−4t−e^−t)^2 t>0s>−4arrow_forwardThe function f(x) is defined by f(x) = 0 1- |×| for |x|≤ 2 for |x| > 2. Calculate the form of f'(x) and plot graphs of both f(x) and f'(x). Calculate directly the Fourier transforms F[f] and F[f] and confirm that F[f'] = ikF[f]. Now consider the Inverse Fourier Transform of F[f], evaluated at x = L sin² k k2 dk = π. 0, to show (1)arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,

Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated

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...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

