Consider the vibrations of a nonuniform string of mass density 0(x). Suppose that the
Chapter 5, Problem 5.4.6(choose chapter or problem)
Consider the vibrations of a nonuniform string of mass density 0(x). Suppose that the left end at x = 0 is fixed and the right end obeys the elastic boundary condition: u/x = (k/T0)u at x = L. Suppose that the string is initially at rest with a known initial position f(x). Solve this initial value problem. (Hints: Assume that the appropriate eigenvalues and corresponding eigenfunctions are known. What differential equations with what boundary conditions do they satisfy? The eigenfunctions are orthogonal with what weighting function?)
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