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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "DEplot3d_926w.mws\nMon Sep
 26 14:16:10 MDT 2005\n" }}{PARA 0 "" 0 "" {TEXT -1 46 "Reference Exam
ple 2.5.6 and also Example 3.3.1" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 23 "This shows examples of " }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 49 "      time-state curve \+
(??same as a world line??)" }}{PARA 0 "" 0 "" {TEXT -1 11 "      orbit
" }}{PARA 0 "" 0 "" {TEXT -1 22 "      component curves" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart
;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 52 "############################
########################" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 
"with(plots, display):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "w
ith(DEtools, DEplot3d):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "######
#########################################################" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "DE1 := D(x)(t) = 1 - y(t)^2;" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "DE2 := D(y)(t) = -x(t)^2;" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "SYS := \{DE1, DE2\}:  VARS
 := \{x(t), y(t)\}:  " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "IC
 := [[ x(0) = -1, y(0)= 1/2]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 41 "TRG := -5..5:  XRG := -2..2:  YRG := TRG:" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 29 "OPT := scene=[t, x(t), y(t)]:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "Nerk := DEplot3d(SYS, VARS, t=TRG, \+
IC, x=XRG,  y=YRG, OPT):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 74 "The following plot, named Nerk, gives the
 \"time-state curve\" in xyt-space:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "display(Nerk);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "display(Nerk, orientation=[0,90]); \+
 " }{TEXT -1 23 "The \"orbit\" in xy-space" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 37 "display(Nerk, orientation=[90,90]);  " }{TEXT -1 
30 "The ty-space \"component curve\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 37 "display(Nerk, orientation=[-90,0]);  " }{TEXT -1 30 "
The tx-space \"component curve\"" }}}}{MARK "0 0 0" 18 }{VIEWOPTS 1 1 
0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }