Solve the equation x" + 4x = 8(t), x(0)=0, x'(0) = 0 a. x(t)=sin(2t) b. x(t)=[1-e-²¹-2te-²¹] + µ(t − 2)(t − 2)e−2(t−21) - c. x(t)=2μ(t - π)е-(-)sin(t-1) d. x(t)=[2-e²Tu(t− π) + е¹¹µ(t − 2π)]e-²¹sint x(t) = [1 + μ(t− n)]sin(2t) e.
Solve the equation x" + 4x = 8(t), x(0)=0, x'(0) = 0 a. x(t)=sin(2t) b. x(t)=[1-e-²¹-2te-²¹] + µ(t − 2)(t − 2)e−2(t−21) - c. x(t)=2μ(t - π)е-(-)sin(t-1) d. x(t)=[2-e²Tu(t− π) + е¹¹µ(t − 2π)]e-²¹sint x(t) = [1 + μ(t− n)]sin(2t) e.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Solve the equation
x" + 4x = 8(t), x(0)=0, x'(0) = 0
a. x(t)=sin(2t)
b. x(t)=[1-e-²¹-2te-²¹] + µ(t − 2)(t − 2)e−2(t−21)
-
c. x(t)=2μ(t - π)е-(-)sin(t-1)
d. x(t)=[2-e²Tu(t− π) + е¹¹µ(t − 2π)]e-²¹sint
x(t) = [1 + μ(t− n)]sin(2t)
e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66b4274c-507e-4eb6-af25-90299dfa30b6%2F25feff4c-0d67-418e-baf7-e4b509352ed3%2F4dmuct7_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the equation
x" + 4x = 8(t), x(0)=0, x'(0) = 0
a. x(t)=sin(2t)
b. x(t)=[1-e-²¹-2te-²¹] + µ(t − 2)(t − 2)e−2(t−21)
-
c. x(t)=2μ(t - π)е-(-)sin(t-1)
d. x(t)=[2-e²Tu(t− π) + е¹¹µ(t − 2π)]e-²¹sint
x(t) = [1 + μ(t− n)]sin(2t)
e.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
