{VERSION 4 0 "IBM INTEL NT" "4.0" } {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 Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {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 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 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "4" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "de4 := diff(y(t), t) = (t*y(t)*(4-y(t)))/(1+t);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$de4G/-%%diffG6$-%\"yG6#%\"tGF,*&*( F,\"\"\"F)F/,&\"\"%F/F)!\"\"F/F/,&F/F/F,F/F2" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "sol := dsolve(\{de4, y(0) = 2\}, y(t));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$solG/-%\"yG6#%\"tG,$*&*$)-%$expGF( \"\"%\"\"\"F1,.-F/6#,$F)F0F1F1F1*&F0F1F)F1F1*&\"\"'F1)F)\"\"#F1F1*&F0F 1)F)\"\"$F1F1*$)F)F0F1F1!\"\"F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "evaluated := eval(sol, y(t)=3.99);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*evaluatedG/$\"$*R!\"#,$*&*$)-%$expG6#%\"tG\"\"%\"\" \"F2,.-F.6#,$F0F1F2F2F2*&F1F2F0F2F2*&\"\"'F2)F0\"\"#F2F2*&F1F2)F0\"\"$ F2F2*$)F0F1F2F2!\"\"F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "s olve(evaluated, t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&$!+PvEw5!\"*^$$ !+\"3cm+\"F%$\"+4:W\\\")!#6^$F'$!+4:W\\\")F+$!+*>-$*4*!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "The solution first reaches the value 3.99 at " }}}}{MARK "5 0 0" 45 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }