Use the Laplace Transform to solve the given initial value problem. y(4) - 4y=0; y(0) = 1, y'(0) = 0, y"(0) = -2, y"(0) = 0 O y = sin(sqrt2 t) Oy=-cos(sqrt2 t) O y = -sin(sqrt2 t) Oy = cos(sqrt2 t)

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

Solve the DE, pls show clean and full solution

Use the Laplace Transform to solve the given initial value problem.
y(4) - 4y = 0; y(0) = 1, y'(0) = 0, y"(0) = -2, y"(0) = 0
y = sin(sqrt2 t)
O y = -cos(sqrt2 t)
O y = -sin(sqrt2 t)
O y = cos(sqrt2 t)
Transcribed Image Text:Use the Laplace Transform to solve the given initial value problem. y(4) - 4y = 0; y(0) = 1, y'(0) = 0, y"(0) = -2, y"(0) = 0 y = sin(sqrt2 t) O y = -cos(sqrt2 t) O y = -sin(sqrt2 t) O y = cos(sqrt2 t)
Expert Solution
steps

Step by step

Solved in 3 steps

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,