{VERSION 5 0 "SUN SPARC SOLARIS" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 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 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 142 "The DEtools package conta ins a number of functions that will be useful in this course. Use \"H elp\" to find how Maple describes its features. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 246 "It is often useful to pr oduce graphs in separate windows. Although this feature was used when constructing this worksheet, this is a user option, and is not saved with the worksheet. To enable the feature, select Options->Plot Disp lay->Window." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(DEtool s):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "eq1:=diff(y(t),t)=(y (t)^2-1)/(t^2+2*t);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "DEplot(eq1, \{y(t)\},t=-4..2,y=-3..3,arrows=LINE,title=\"Example, p. 20\");" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "ex3:=diff(y(t),t)=y(t)+t+1; " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 79 "DEplot(ex3,\{y(t)\},t=-2..2,y=- 2..2,arrows=LINE,title=\"Exercise 3, Section 1.3\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "en1:=diff(y(t),t)=2*(t+sqrt(t^2-y(t)));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "DEplot(en1,\{y(t)\},t=-2..2,y=-1. .4,arrows=LINE,title=\"Tangents to a parabola\");" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 42 "pr1:=diff(y(t),t)=piecewise(y(t)>t^2,1,0);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "DEplot(pr1,\{y(t)\},t=-3..3,y=-1. .5,arrows=LINE,title=\"Increasing inside parabola\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "ex11iii:=diff(y(t),t)=y(t)^2-t^2;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "DEplot(ex11iii,\{y(t)\},t=-2..2,y =-2..2,arrows=LINE,title=\"1.3 Exercise 11(iii)\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "q1:=diff(y(t),t)=1.4-.007*y(t);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "DEplot(q1,\{y(t)\},t=0..300,y=0..300,arro ws=LINE,title=\"First quiz problem\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "q2:=diff(y(t),t)=3*(y(t)-1)/(t-3);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "DEplot(q2,\{y(t)\},t=0..6,y=-8..10,arrows=LINE,tit le=\"Second quiz problem\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "p1c:=diff(y(t),t)=y(t)-t^2;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "DEplot(p1c,\{y(t)\},t=-3..3,y=-1..5,arrows=LINE,title=\"Third equa tion from project 1\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}}{MARK "11" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }