# script to show damped oscillator traces

set terminal postscript eps enhanced color font "Times-Italic,24pt" size 12cm,4.5cm dashlength 2.0 
set output 'criticallydampedosc.eps'

set border 0
#set tics nomirror
set xrange [0:18]
set yrange [-.65:1.1]
unset xtics
unset ytics

beta=.3;

y(t,A,B)=(A+B*t)*exp(-beta*t)

set arrow 1 from 0,-.8 to 0,1.3 filled
set arrow 2 from 0,0 to 19,0 filled

set label 1 "t" at 18.5,-.15
set label 2 " x{/Times-Roman (}t{/Times-Roman )}" at -1.7,1.2
set ylabel " " offset -2,0 

set label 3 "A>0, B=0" at 1,.9
set label 4 "A=0, B>0" at 8,0.5
set label 5 "A<B<0" at 6,-.5

plot y(x,1,0) lt 1 lc rgb 'red' notitle, \
     y(x,0,.5) lt 1 lc rgb '#c000c0' notitle, \
     y(x,-.5,-.3) lt 1 lc rgb "blue" notitle