{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 1 24 255 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 "Courier" 1 24 0 0 0 0 0 1 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 20 "evalf((exp(2)+1)/2);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+]!GX>%!\"*" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 13 "stepsize:=.1;" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 7 "t_0:=0;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "y[0]:=1;
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "slope:=(t,x)->3+t-x;" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 10 "lastt:=.1;" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 40 "for i from 1 to (lastt-t_0)/stepsize do:" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 51 "y[i]:=y[i-1]+slope(t_0+i*stepsize,y[i-1])*stepsize:" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 14 "print(y[i-1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)stepsizeG
$\"\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$t_0G\"\"!" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>&%\"yG6#\"\"!\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&slopeGf*6$%\"tG%\"xG6\"6$%)operatorG%&arrowGF),(\"\"
$\"\"\"9$F/9%!\"\"F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&lasttG$
\"\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"$@\"!\"#" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "Digits:=10:" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 14 "with(DEtools):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 36 "dsolve(diff(y(t),t)=-2*y(t)-1,y(t));" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#/-%\"yG6#%\"tG,&#\"\"\"\"\"#!\"\"*&-%$expG6#,$*&F+
F*F'F*F,F*%$_C1GF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "eva
lf(-1/2+exp(-20)*3/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+p******\\
!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "2 0 0" 
0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }