Can someone help with the steps for this problem?

A string of length L, fixed at its ends, is plucked a distance Xp from the end at x=0. It is then released from rest. Formulate the initial conditions and determine the modal amplitudes.

I know the general solution of the governing equation, and then I have differentiated that with respect to t. Are the initial conditions x=0 and x=L? Someone, please help!

Question

Can someone help with the steps for this problem? 

A string of length L, fixed at its ends, is plucked a distance Xp from the end at x=0. It is then released from rest. Formulate the initial conditions and determine the modal amplitudes.

I know the general solution of the governing equation, and then I have differentiated that with respect to t. Are the initial conditions x=0 and x=L? Someone, please help!

anonymous · Answer

I have this sketch too, how would I use it|dw:1360529320548:dw|