{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 266 "y := x^2-k;\nA(0) : = 1/y;\nB(0) := diff(y,x)/y;\nfor i from 1 to 5 do w := i;\nA(w) := si mplify(sum('(-1)^(a-1)*y^(a-1)*diff(y,x$w)*y^(w-a+1)*A(w-a)/a!','a'=1. .w)/y^(w+1));\nB(w) := simplify(sum('(-1)^(a)*y^(a)*diff(y,x$(w+1))*y^ (w-a+1)*A(w-a)/a!','a'=1..w)/y^(w+1)); od;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG,&*$%\"xG\"\"#\"\"\"%\"kG!\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>-%\"AG6#\"\"!*$,&*$%\"xG\"\"#\"\"\"%\"kG!\"\"F/" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6#\"\"!,$*&%\"xG\"\"\",&*$F*\" \"#F+%\"kG!\"\"F0F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"\"" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6#\"\"\",$*&%\"xGF',&*$F*\"\"# F'%\"kG!\"\"!\"#F-" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6#\"\"\", $*$,&*$%\"xG\"\"#F'%\"kG!\"\"F/!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%\"wG\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6#\"\"#,$*&,(% \"xG!\"%*$F+F'\"\"\"%\"kG!\"\"F.,&F-F.F/F0!\"$F0" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6#\"\"#\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"wG\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6#\"\"$\"\"!" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6#\"\"$\"\"!" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"wG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"A G6#\"\"%\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6#\"\"%\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wG\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6#\"\"&\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >-%\"BG6#\"\"&\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{MARK "0 0 0" 263 }{VIEWOPTS 1 1 0 1 1 1803 }