send handwritten solution for part a
Extracted text: A =1B =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) = c²u» (x,t), 0
< l,=""><><∞><><∞o, u(0,t)="u(l,t)" =="" 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="">< x="">< u(x,0)="u;(x,0)" =="" 0="" all="" points="" on="" the="" string="" have="" a="" starting="" speed="" of="" zero="" at="" time="" t="0," je="" for="">
<1. (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="" used="" (c)="" explain,="" using="" the="" solution="" to="" the="" wave="" equation,="" why="" maximum="" speed="" is="" reached="" in="" the="" middle="" of="" the="" string="" (d)="" find="" the="" wave="" velocity="" of="" the="" string="" given="" that="" the="" oscillation="" time="" t="" for="" an="" entire="" period="" is="" b="" seconds="" and="" the="" length="" i="" is="" your="" candidate="" number="" in="" centimeters="" (abccm).="" the="" value="" of="" b="1." t="5s" and="" i="115cm." (e)="" at="" what="" times="" does="" the="" string="" have="" the="" greatest="">