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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "# G.H. George    ENG
I 4430       2010 03 03" }}{PARA 0 "" 0 "" {TEXT -1 16 "#  Example 11.
02" }}{PARA 0 "" 0 "" {TEXT -1 68 "#  Animation of the wave satisfying
 the wave equation, released from" }}{PARA 0 "" 0 "" {TEXT -1 35 "#  r
est with the sinusoidal shape  " }{TEXT 256 1 "y" }{TEXT -1 1 "(" }
{TEXT 257 1 "x" }{TEXT -1 11 ",0) = cos (" }{TEXT 258 1 "p" }{TEXT 
259 5 " x / " }{TEXT -1 22 "2) on [-1, 1] and zero" }}{PARA 0 "" 0 "" 
{TEXT -1 70 "#  elsewhere on the infinitely long line.   The d'Alember
t solution is" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 116 "y(x,t) :=
 (piecewise(-1-t < x and x < 1-t, cos(Pi*(x+t)/2))\n+ piecewise(-1+t <
 x and x < 1+t, cos(Pi*(x-t)/2))) / 2;" }}{PARA 11 "" 1 "" {XPPMATH 
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