Question

u(x, t) represents the vertical displacement of a string of length L = 16 with wave equation 25uxx = uft at position x along the string and at time t Find u(x, t) if a. the initial velocity of the string is 0 and the rightmost position b. the initial velocity is a constant 5 and the vertical displacement is 0. c. the initial velocity is a constant 5 and the rightmost position is held at a vertical displacement of 1 held at a vertical displacement of 1 and released. Solution to (a) First, find the initial position function u(x, 0): и(х, 0) 3D о Solution to (b) Solution to (c)

Answer 1

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TmCHan Chой ana G det Un=Xd act) = tx}M в Bohiion ofO 16 С-т ирр-о A ye со аn Lon Т6 иС 2bno п SomT И E Z bn GS mt 16 Jaт БОП

Co, th Poie Sre enie 5nti TT Th 64P n odd bn Pn een Pom 16 cre bnag aboe 16