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Cqb Xfbcb X bd_ \^c^ >dh i\ Wdarn ZXVZlVh^ eåh^ ah å X gai\c^^ ^ ^geqhVa bcd\ghXd miZgcqk Xghfm g ?dgedZdb, cd bdYi g`VVhr gd Xg_ mghcdghrä, mhd dh`fdXc^, `dhdfqb =dY cVZa^a bcå V sh^ cg`dar`d edgaZc^k ah, gdXfnccd ^bc^ad bdä \^cr ^ efcgad bcå cV hV`d_ ifdXcr XV^bddhcdnc^_ g =dYdb, d `V`db å ZV\ c bCase (i) Initial displacement only f(x) 6=0and g(x) = 0 The solution is ζ(x,t)= 1 2 f(x−ct) 1 2 f(xct) and is shown for a simple f(x) in Figure 4 at successive time steps Clearly, the initial disturbance is split into two equal waves propagating in opposite directions at the speed c The outgoing waves preserve the initial proÞleÇ È Ì æ Î d x p k r m g e j e q f s l t t m q p f k e i o j n d j e p q u f 2 "s[X Ç æ¿ G[X