{VERSION 3 0 "IBM INTEL NT" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{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 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 26 "Calculating a differentia l" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f:=(2*x^2+x)*exp(4*x); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&,&*$)%\"xG\"\"#\"\"\"F*F) \"\"\"F,-%$expG6#,$F)\"\"%F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "diff(diff(diff(f,x),x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,( -%$expG6#,$%\"xG\"\"%\"#[*&,&F(F)\"\"\"F-F-F$F-F**&,&*$)F(\"\"#\"\"\"F 2F(F-F-F$F3\"#k" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "collect( %,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&-%$expG6#,$%\"xG\"\"%\"\" \")F)\"\"#\"\"\"\"$G\"*&F%F.F)F+\"$c#F%\"#'*" }}}{EXCHG {PARA 0 "" 0 " " {TEXT 257 47 "A 3rd order equation with constant coefficients" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "eqn:=diff(diff(diff(x(t),t), t),t)-7*diff(diff(x(t),t),t)+14*diff(x(t),t)-8*x(t)=40*sin(2*t);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eqnG/,*-%%diffG6$-%\"xG6#%\"tG-%\"$ G6$F-\"\"$\"\"\"-F(6$F*-F/6$F-\"\"#!\"(-F(6$F*F-\"#9F*!\"),$-%$sinG6#, $F-F7\"#S" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(eqn,x(t ));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"xG6#%\"tG,,-%$sinG6#,$F'\" \"#\"\"\"-%$cosGF+!\"\"*&%$_C1GF.-%$expGF&F.F.*&%$_C2GF.-F5F+F.F.*&%$_ C3GF.-F56#,$F'\"\"%F.F." }}}{EXCHG {PARA 0 "" 0 "" {TEXT 258 23 "An ho mogeneous equation" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "eqn2: =3*t^2*diff(diff(x(t),t),t)-5*x(t)=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%eqn2G/,&*&)%\"tG\"\"#\"\"\"-%%diffG6$-%\"xG6#F)-%\"$G6$F)F*\"\" \"\"\"$F/!\"&\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "dsolv e(eqn2,x(t));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"xG6#%\"tG,&*&%$_ C1G\"\"\")F',&#F+\"\"#F+*$-%%sqrtG6#\"#p\"\"\"#F+\"\"'F+F+*&%$_C2GF+)F ',&F.F+F0#!\"\"F7F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}{MARK "9 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }