Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Please do A and C

Please do A and C

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
Please do A and C
ot f(t) on [0, 0). action x(t) 6, 6et-3, 0≤t <3, 3<t<4, 4≤t<6, t≥ 6, 0, and find the Laplace tranform X (s). 6. Solve the following initial value problems using Laplace transforms. a) x² + 5x = H (t− 2), x(0) = 1. b) x² + x = sin 2t, x(0) = 0. c) x" - x² - 6x = 0, d) x" - 2x² + 2x = 0, e) x" - 2x² + 2x = et, f) x" - x' =0, x(0) = 1, x'(0) = 0. g) x" +0.4x' + 2x = 1 - H(t-5), x(0)=0, x'(0) = 0. h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0. i) x" -2x = 1, x(0) = 1, x'(0) = 0. j) x' = 2x + H(t-1), x(0) = 0. 7. Sketch the function f(t) = 2H(t - 3) - 2H(t - 4) and find its La transform. x(0) = 2, x'(0) = -1 x(0) = 0, x'(0) = 1. x(0)=0, x'(0) = 1. 8. Find the Laplace transform of f(t) = t²H(t-3). 9. Invert F(s) = (-2)4 10. Find the inverse transform of F(s) 1-e-48
Transcribed Image Text:ot f(t) on [0, 0). action x(t) 6, 6et-3, 0≤t <3, 3<t<4, 4≤t<6, t≥ 6, 0, and find the Laplace tranform X (s). 6. Solve the following initial value problems using Laplace transforms. a) x² + 5x = H (t− 2), x(0) = 1. b) x² + x = sin 2t, x(0) = 0. c) x" - x² - 6x = 0, d) x" - 2x² + 2x = 0, e) x" - 2x² + 2x = et, f) x" - x' =0, x(0) = 1, x'(0) = 0. g) x" +0.4x' + 2x = 1 - H(t-5), x(0)=0, x'(0) = 0. h) x" + 9x = sin 3t, x(0) = 0, x'(0) = 0. i) x" -2x = 1, x(0) = 1, x'(0) = 0. j) x' = 2x + H(t-1), x(0) = 0. 7. Sketch the function f(t) = 2H(t - 3) - 2H(t - 4) and find its La transform. x(0) = 2, x'(0) = -1 x(0) = 0, x'(0) = 1. x(0)=0, x'(0) = 1. 8. Find the Laplace transform of f(t) = t²H(t-3). 9. Invert F(s) = (-2)4 10. Find the inverse transform of F(s) 1-e-48
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

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