Considerastringthatisxedattheendx=0andisfreeattheendx=l
Chapter 4, Problem 4.3.13(choose chapter or problem)
Considerastringthatisxedattheendx=0andisfreeattheendx=l except that a load (weight) of given mass is attached to the right end. (a) Show that it satises the problem utt =c2uxx for 0 < x < l u(0,t)=0 utt(l,t)=kux(l,t) for some constant k. (b) What is the eigenvalue problem in this case? (c) Find the equation for the positive eigenvalues and nd the eigenfunctions.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer