{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE " Help Heading" -1 26 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{PSTYLE "Norm al" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 6 6 1 0 1 0 2 2 0 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 7 "Bug fix" }{TEXT -1 33 ": D Eplot and DEplot3d with coords" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 4 "The " }{MPLTEXT 0 21 6 "coords" }{TEXT -1 118 " option, which allows the use of non-Cartesian coordinate systems in many other plotting commands, does not work with " }{MPLTEXT 0 21 6 "DEplot" }{TEXT -1 4 " or " }{MPLTEXT 0 21 8 "DEplot3d" }{TEXT -1 6 ". In " }{MPLTEXT 0 21 6 "DEplot" }{TEXT -1 33 " it causes an error m essage. In " }{MPLTEXT 0 21 8 "DEplot3d" }{TEXT -1 74 " there is no e rror message, but the plot is done in Cartesian coordinates." }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 127 "DEplot(\{diff(r(t),t)=-sin( theta(t))/2, diff(theta(t),t)=1/2\}, \n[r(t),theta(t)], t=0..Pi, \n[[r (0)=1,theta(0)=0]], coords=polar);" }}{PARA 8 "" 1 "" {TEXT -1 67 "Err or, (in plot/options2d) unknown or bad argument, coords = polar\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 156 "DEplot3d(\{diff(r(t),t)=-si n(theta(t))/2, diff(theta(t),t)=1/2\}, \n[r(t),theta(t)], t=0..2*Pi, \+ \n[[r(0)=1,theta(0)=0]], scene=[r,theta,t],\ncoords=cylindrical);" } {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "A work-around i s to produce the plot using rectangular coordinates, and change to pol ar coordinates using the " }{MPLTEXT 0 21 12 "changecoords" }{TEXT -1 18 " command from the " }{MPLTEXT 0 21 5 "plots" }{TEXT -1 10 " packag e. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 161 "plots[changecoords] (\nDEplot(\{diff(r(t),t)=-sin(theta(t))/2, diff(theta(t),t)=1/2\}, [r( t),theta(t)], t=0..Pi, [[r(0)=1,theta(0)=0]], scaling=constrained), po lar);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 114 "In the t hree-dimensional case, because of another bug, you must substitute CUR VES for CURVELIST before doing this." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 194 "plots[changecoords](subs(CURVELIST=CURVES,\nDEplot3d (\{diff(r(t),t)=-sin(theta(t))/2, diff(theta(t),t)=1/2\}, \n[r(t),thet a(t)], t=0..2*Pi, \n[[r(0)=1,theta(0)=0]], scene=[r,theta,t])),\ncylin drical);" }{TEXT -1 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "See a lso:" }}{PARA 0 "" 0 "" {HYPERLNK 17 "DEplot" 2 "DEplot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "DEplot3d" 2 "DEplot3d" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "DEtools" 2 "DEtools" "" }{TEXT -1 2 ", " }{HYPERLNK 17 " dfieldplot" 2 "dfieldplot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "display " 2 "display" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "dsolve(numeric)" 2 "d solve,numeric" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "fieldplot" 2 "fieldp lot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "odeplot" 2 "odeplot" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "phaseportrait" 2 "phaseportrait" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "plot" 2 "plot" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "spacecurve" 2 "spacecurve" "" }{TEXT -1 1 " " }}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 23 "Maple Advisor Database " }{TEXT -1 14 " R. Israel 1998" }}}}{MARK "0 2 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }