Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Use the Laplace transform to solve the following initial value problem: y' + 8y = 0 y(0) = 3, y(0) = -2 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) = + where a < b sta s+b Y(s) = Now by inverting the transform, find y(t) =

Use the Laplace transform to solve the following initial value problem: y' + 8y = 0 y(0) = 3, y(0) = -2 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) = + where a < b sta s+b Y(s) = Now by inverting the transform, find y(t) =

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
Use the Laplace transform to solve the following initial value problem: y/" + 8y = 0 y(0) = 3, 3/(0) =-2 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) = В s+b where a < b sta Y(s) = + Now by inverting the transform, find y(t)
Transcribed Image Text:Use the Laplace transform to solve the following initial value problem: y/" + 8y = 0 y(0) = 3, 3/(0) =-2 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) = В s+b where a < b sta Y(s) = + Now by inverting the transform, find y(t)
Expert Solution
steps

Step by step

Solved in 2 steps with 4 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