Find the solution of the given initial value problem: y (4) + 2y" + y = 5t + 8; y(0) = y'(0) = 0, y"(0) y(t) = = 8+5 t-8 cos(t)- 5 sin(t) = (³) (0) = 1. 7 t sin(t) + 2 t cos(t) - 2 sin(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
provide the solution please
Your answer is correct.
Find the solution of the given initial value problem:
y(4) + 2y" + y = 5t + 8; y(0) = y′(0) = 0, y″(0) = y(³) (0) = 1.
y(t) = 8+5 t-8 cos(t)- 5 sin(t)
7
t sin(t) + 2t cos(t) - 2 sin(t)
2
Transcribed Image Text:Your answer is correct. Find the solution of the given initial value problem: y(4) + 2y" + y = 5t + 8; y(0) = y′(0) = 0, y″(0) = y(³) (0) = 1. y(t) = 8+5 t-8 cos(t)- 5 sin(t) 7 t sin(t) + 2t cos(t) - 2 sin(t) 2
Expert Solution
steps

Step by step

Solved in 6 steps with 6 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,