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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "# G.H. George    ENG
I 9420   2007 07 17 updated 2012 11 20" }}{PARA 0 "" 0 "" {TEXT -1 28 
"#  2012 Fall Example 8.06.1." }}{PARA 0 "" 0 "" {TEXT -1 92 "# Animat
ion of the temperature distribution satisfying the heat equation du/dt
 = 9 * d2u/dx2" }}{PARA 0 "" 0 "" {TEXT -1 47 "#  with the initial tem
perature distribution   " }{XPPEDIT 18 0 "u(x,0) = 145x^2 - 240x + 100
" "6#/-%\"uG6$%\"xG\"\"!,(*&\"$X\"\"\"\"*$F'\"\"#F,F,*&\"$S#F,F'F,!\"
\"\"$+\"F," }{TEXT -1 8 "   (0 < " }{TEXT 256 1 "x" }{TEXT -1 6 " < 2)
." }}{PARA 0 "" 0 "" {TEXT -1 30 "# The left end of the bar (at " }
{TEXT 257 1 "x" }{TEXT -1 23 " = 0) is kept at 100 C." }}{PARA 0 "" 0 
"" {TEXT -1 31 "# The right end of the bar (at " }{TEXT 258 1 "x" }
{TEXT -1 23 " = 2) is kept at 200 C." }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
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0 46 "u(x,t) := sum(v(n,x,t),n=1..10) \n+ 50*x + 100;" }}{PARA 12 "" 
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