Find the Laplace transform of the solution of the initial value problem 0

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
Find the Laplace transform of the solution of the initial value problem
»() -1, v() =
1, 0<t<2
y" + 4y' =
y(0) = 1,
y'( 0
= 3.
%3D
10,
2<t
-2s
-e
YS
s+7
s(s+4)
%3D
s² (s + 4)
-2s
-e
YS
%3D
sls+4)
Transcribed Image Text:Find the Laplace transform of the solution of the initial value problem »() -1, v() = 1, 0<t<2 y" + 4y' = y(0) = 1, y'( 0 = 3. %3D 10, 2<t -2s -e YS s+7 s(s+4) %3D s² (s + 4) -2s -e YS %3D sls+4)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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,