{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Tim es" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu t" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "# G.H. George ENG I 5432 2007 12 17" }}{PARA 0 "" 0 "" {TEXT -1 16 "# Example 4.5. 1." }}{PARA 0 "" 0 "" {TEXT -1 92 "# Animation of the temperature dist ribution satisfying the heat equation du/dt = 9 * d2u/dx2" }}{PARA 0 " " 0 "" {TEXT -1 47 "# with the initial temperature distribution " } {XPPEDIT 18 0 "u(x,0) = 145x^2 - 240x + 100" "6#/-%\"uG6$%\"xG\"\"!,(* &\"$X\"\"\"\"*$F'\"\"#F,F,*&\"$S#F,F'F,!\"\"\"$+\"F," }{TEXT -1 8 " \+ (0 < " }{TEXT 256 1 "x" }{TEXT -1 6 " < 2)." }}{PARA 0 "" 0 "" {TEXT -1 30 "# The left end of the bar (at " }{TEXT 257 1 "x" }{TEXT -1 23 " = 0) is kept at 100 C." }}{PARA 0 "" 0 "" {TEXT -1 31 "# The right en d of the bar (at " }{TEXT 258 1 "x" }{TEXT -1 23 " = 2) is kept at 200 C." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 83 "v(n,x,t) := 2320/(n*Pi)^3 * ((-1)^n - 1) * sin(n*Pi*x/2) \n* exp(- (3*n*Pi/2)^2 * t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"vG6%%\"nG% \"xG%\"tG,$*.\"%?B\"\"\"F'!\"$%#PiGF.,&)!\"\"F'F-F-F2F--%$sinG6#,$**\" 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