A = 1 B =1 C= 5 We have a string with length that is attached at both ends, both at x = 0 and x = 1. The differential equation and boundary conditions that describe the position u as a function of x...

handwritten solution for part a

Extracted text: A = 1 B =1 C= 5 We have a string with length that is attached at both ends, both at x = 0 and x = 1. The differential equation and boundary conditions that describe the position u as a function of x and are given by Uu(x,t) = c²uz(x,t), 0< l,="" u(0,t)="u(1,t)" =="" 0,=""><><∞, 0=""><><∞ where="" the="" constant="" c="" is="" the="" wave="" speed="" of="" the="" string="" at="" time="" t="0" we="" pull="" the="" middle="" of="" the="" string="" to="" a="" height="" h="" from="" the="" equilibrium="" position="" so="" that="" the="" position="" of="" the="" string="" is="" given="" by="" u(x,0)="꼭(1-2)," 을=""><>< l.="" (a)="" write="" down="" the="" general="" solutions="" for="" position="" and="" speed="" of="" this="" string.="" make="" simplifications="" as="" a="" result="" of="" the="" starting="" conditions="" (b)="" calculate="" the="" coefficients="" of="" the="" general="" solutions="" so="" that="" you="" arrive="" at="" a="" solution="" for="" position="" and="" speed="" of="" the="" string="" as="" a="" function="" of="" i="" and="" h.="" to="" arrive="" at="" the="" solution,="" the="" following="" can="" be="">