Question

Application of one dimensional wave equation

Answer 1

 string of length L with both endpoints fixed, such as the string of a piano, is struck at its midportion, the impact thus imparting to the string an initial velocity  which is defined by:





Find the motion of the string. 

I set up the following boundary value problem:











and I got the following Fourier Series Solution:



Does this look right? I would appreciate any help!!!