1
answer
0
watching
67
views
13 Nov 2019
Q2. Wave equation on a bounded domain Consider an elastic string of 2m in length on the interval [0, 2] with wave propagation speed of (a) Suppose the string is left free to oscillate vertically at x 0 and held fixed at x-2. If the string is initially at equilibrium and set in motion with an initial velocity g(x), write down the wave equation with appropriate boundary conditions for the vertical displacement u(x, t) on [0,2]. (b) Find the solution to the wave equation from part (a) if g(x) = x(x-2)
Q2. Wave equation on a bounded domain Consider an elastic string of 2m in length on the interval [0, 2] with wave propagation speed of (a) Suppose the string is left free to oscillate vertically at x 0 and held fixed at x-2. If the string is initially at equilibrium and set in motion with an initial velocity g(x), write down the wave equation with appropriate boundary conditions for the vertical displacement u(x, t) on [0,2]. (b) Find the solution to the wave equation from part (a) if g(x) = x(x-2)
Bunny GreenfelderLv2
15 Feb 2019