Consider a vibrating system described by the initial value problem. (A computer algebra system is recommended.)...

70.2K

Verified Solution

Question

Advance Math

Consider a vibrating system described by the initial valueproblem. (A computer algebra system is recommended.) u'' + 1/4u' +2u = 2 cos ?t, u(0) = 0, u'(0) = 6

(a) Determine the steady state part of the solution of thisproblem.
u(t) =


(b) Find the amplitude A of the steady state solution interms of ?.
A =

(d) Find the maximum value of A and the frequency ? forwhich it occurs.

Answer & Explanation Solved by verified expert
4.1 Ratings (563 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students