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-1 76 "Sample Worksheet:  How to plot u versus u' in Maple.  We first \+
solve the IVP" }}{PARA 0 "" 0 "" {TEXT -1 85 "and put the solution as \+
u1, and its derivative as u2.  We then use the form of \"plot\"" }}
{PARA 0 "" 0 "" {TEXT -1 96 "that allows a parameterized plot of the o
rdered pairs:  [u1(t), u2(t) ], for t in a given range." }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 63 "Note that your plot \+
will be a parameterized curve in the plane." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 43 "de:=diff(u(t),t$2)+0.2*diff(u(t),t)+u(t)=0;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%#deG/,(-%%diffG6$-%\"uG6#%\"tG-%\"$G6$F-\"
\"#\"\"\"*&$F1!\"\"F2-F(6$F*F-F2F2F*F2\"\"!" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 39 "A:=dsolve(\{de,u(0)=1,D(u)(0)=-1\},u(t));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG/-%\"uG6#%\"tG,&*&#\"\"$\"#6\"\"
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "plot([u1,u2,t=0..15]);" }}{PARA 13 
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