{VERSION 3 0 "SGI MIPS UNIX" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "" -1 266 "" 1 24 0 0 0 0 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 Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 266 28 "445/545 Fall 1998 Handout #1" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 69 "Draw the graph of a functi on that satisfied the differential equation" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 72 "Here's the direction field, generated with the software package \"Maple\":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "with(DEtools):\ndfieldplot( diff(x(t),t) = (x-t)/2, \+ x(t),\n t=1..15, x=1..14, arrows=line, color=black );" }} {PARA 13 "" 1 "" {INLPLOT 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